Speed Distance Time Word Problems and Formula

Speed Distance Time Word Problems



  1. The metro trains which travel at a uniform speed between stations A and B run at a regular interval of 12 min. If Ajay, walking along the railway track at uniform speed, observes that every 10 min there is a train coming from the opposite direction and passes him, then what is the time-gap between one train that overtakes him from behind and the immediately next train overtaking him?
    1. A. 15 mins       Correct Answer
    2. B. 16 mins      
    3. C. 13.5 mins      
    4. D. None of these      
  2.  

    A train can travel 20% faster than a car. Both start from a point A at the same time and reach point B 75 km away from A at the same time. On the way, however, the train lost about 12.5 mins while stopping at the stations. Find the speed of the car in km/hr.
    1. A. 50 km/hr     
    2. B. 55 km/hr      
    3. C. 60 km/hr        Correct Answer
    4. D. 65 km/hr      
  3.  

    Two champion swimmers start a two-length swimming race at the same time but from opposite ends of the pool. They swim in line and at constant but different speeds. They first pass at a point 18.5 m from the deep end and having completed one length, each swimmer is allowed to rest on the edge of pool for 45 s. After setting off on the return length, the swimmers pass for the second time just 10.5 m from the shallow end. Thus, the length of the pool is
    1. A. 90 m     
    2. B. 45 m        Correct Answer
    3. C. 26 m      
    4. D. 52 m      
  4.  

    The jogging track in a sports complex is 726 m in circumference. Suresh and his wife start from the same point and walk in opposite directions at 4.5 km/hr and 3.75km/hr, respectively. They will meet for the first time in
    1. A. 5.5 mins     
    2. B. 6.0 mins      
    3. C. 5.28 mins        Correct Answer
    4. D. 4.9 mins      
  5.  

    The distance of P from Q is 7 km. An aeroplane flew from P to Q against the wind and then comes back in 22 mins. If its speed was decreased by 12(1/2)% flying against the wind and increased by 5% when flying with the wind, how long would the flight have taken, had there been no wind?
    1. A. 15 mins     
    2. B. 21 mins        Correct Answer
    3. C. 36 mins      
    4. D. 60 mins      
  6.  

    Two persons A and B are at two places P and Q, respectively. A walks at v km/hr and B is 2 km/hr faster than A, starting simultaneously from where they stand. If they walk towards each other, they meet in 72 min. If they walk in the same direction, the faster overtakes the slower in 6 hrs. Find their respective speeds (in km/hr).
    1. A. 3 and 5     
    2. B. 4 and 6        Correct Answer
    3. C. 2(1/2) and 4(1/2)      
    4. D. 3(1/2) and 5(1/2)      
  7.  

    A starts 3 min after B for a place 4.5 km distant B, on reaching his destination, immediately returns and after walking a km meets A. If A can walk 1 km in 18 mins, then what is B's speed?
    1. A. 5 km/hr       Correct Answer
    2. B. 4 km/hr      
    3. C. 6 km/hr      
    4. D. 3.5 km/hr      
  8.  

    Two trains of equal length are running on parallel lines in the same direction at 46 km and 36 km/hr. The faster train passes the slower train in 36 s. The length of each train is
    1. A. 50 m       Correct Answer
    2. B. 80 m      
    3. C. 72 m      
    4. D. 82 m      
  9.  

    Two trains, 100 km apart, travel towards each other on the same track. One train travels at 40 km/hr; the other travels at 60 km/hr. A bird starts flying at a speed of 90 km/hr, at the same location of the faster train. When it reaches the slower train, it turns around and flies in the opposite direction at the same speed. When it reaches the faster train, again it turns around and so on. When the two trains collide, how far has the bird flown?
    1. A. 90 km       Correct Answer
    2. B. 45 km      
    3. C. 180 km      
    4. D. 135 km      
  10.  

    In a shopping Mall, Raja decided to walk down the escalator. He did some quick calculation in his mind. He found that if he walks down thirty steps, he requires 18 s to reach the bottom. However, if he is able to stop down thirty four stairs he would only require 6 s to get to the bottom. If the time is measured from the moment the top step begins to descend to the time he steps off the last step at the bottom, the height of the stair way in steps is
    1. A. 46     
    2. B. 38      
    3. C. 36        Correct Answer
    4. D. 32      
  11.  

    35 women earned 105000 by working 20 days. How many men must work for 15 days to receive 108000 provided the daily wages of a man is twice that of a woman?
    1. A. 18 men     
    2. B. 20 men      
    3. C. 16 men      
    4. D. 24 men        Correct Answer
    5. E. None of these      
  12.  

    A can do a piece of work in 15 days, B can do it in 18 days. B started the work after 6 days B left and A joins 5 days after the work was started. The work has finished in?
    1. A. 12 days     
    2. B. 17 days      
    3. C. 15 days        Correct Answer
    4. D. 9 days      
    5. E. None of these      
  13.  

    2 men or 5 women or 7 boys can finish a work in 469 days, and then the number of days taken by 7 men, 5 women and 2 boys to finish the work is?
    1. A. 134     
    2. B. 106      
    3. C. 100      
    4. D. 98        Correct Answer
    5. E. None of these      
  14.  

    15 boys alone can do a piece of work in 20 days. 30 boys and 30 girls working alternatively starting with 30 boys, then find the total number of days taken to complete the whole work if one boy is equal to two girls?
    1. A. 12     
    2. B. 11      
    3. C. 15      
    4. D. 17      
    5. E. 13        Correct Answer
  15.  

    The metro trains which travel at a uniform speed between stations A and B run at a regular interval of 12 min. If Ajay, walking along the railway track at uniform speed, observes that every 10 min there is a train coming from the opposite direction and passes him, then what is the time -gap between one train that overtakes him from behind and the immediately next overtaking him?
    1. A. 15 mins       Correct Answer
    2. B. 16 mins      
    3. C. 13.5 mins      
    4. D. None of these      
  16.  

    In covering a distance of 30 km, Amit takes 2 hrs more than Suresh. If Amit doubles his speed, then he would take 1 hour less than Suresh. Amit's speed is
    1. A. 5 km/hr       Correct Answer
    2. B. 7.5 km/hr      
    3. C. 6 km/hr      
    4. D. 6.25 km/hr      
  17.  

    Two persons A and B are at two places P and Q, respectively. A walks at v km/hr and B is 2 km/hr faster than A, starting simultaneously from where they stand. If they walk towards each other, they meet in 72 min. If they walk in the same direction, the faster overtakes the slower in 6 hrs. Find their respective speeds (in km/hr).
    1. A. 3 and 5     
    2. B. 4 and 6        Correct Answer
    3. C. 2 1/2 and 4 1/2      
    4. D. 3 1/2 and 5 1/2      
  18.  

    Two cars are running along the same road. The first one, which is running at the rate of 30 km/hr, starts 6 hrs ahead of the second one, which is running at the rate of 50 km/hr. How long will it take the second car to catch up with the first one?
    1. A. 6 hrs     
    2. B. 9 hrs        Correct Answer
    3. C. 12 hrs      
    4. D. 15 hrs      
  19.  

    A train can travel 20% faster than a car. Both start from a point A at the same time and reach point B 75 km away from A at the same time. On the way, however, the train lost about 12.5 mins while stopping at the stations. Find the speed of the car in km/hr.
    1. A. 50 km/hr     
    2. B. 55 km/hr      
    3. C. 60 km/hr        Correct Answer
    4. D. 65 km/hr      
  20.  

    A train can travel 20% faster than a car. Both start from the point A at the same time and reach point B 75 km away from A at the same time. On the way, however, the train lost about 12.5 mins while stopping at the stations. The speed of the car is
    1. A. 50 km/hr     
    2. B. 55 km/hr      
    3. C. 60 km/hr        Correct Answer
    4. D. 65 km/hr      
  21.  

    A starts 3 min after B for a place 4.5 km distant B, on reaching his destination, immediately returns and after walking a km meets A. If A can walk 1 km in 18 mins, then what is B's speed?
    1. A. 5 km/hr       Correct Answer
    2. B. 4 km/hr      
    3. C. 6 km/hr      
    4. D. 3.5 km/hr      
  22.  

    Wheels of diameters 7 cm and 14 cm start rolling simultaneously from X and Y, which are 1980 cm apart, towards each other in opposite directions. Both of them make same number of revolutions per second. If both of them meet after 10 s, the speed of the smaller wheel is
    1. A. 22 cm/s     
    2. B. 44 cm/s      
    3. C. 66 cm/s        Correct Answer
    4. D. 132 cm/s      
  23.  

    Two champion swimmers start a two -length swimming race at the same time but from opposite ends of the pool. They swim in line and at constant but different speeds. They first pass at a point 18.5 m from the deep end and having completed one length, each swimmer is allowed to rest on the edge of the pool for 45 s. After setting off on the return length, the swimmers pass for the second time just 10.5 m from the shallow end. Thus, the length of the pool is
    1. A. 90 m     
    2. B. 45 m        Correct Answer
    3. C. 26 m      
    4. D. 52 m      
  24.  

    An express train travelled at an average speed of 100 km/hr, stopping for 3 mins after every 75 km. A local train travelled at a speed of 50 km/hr, stopping for 1 minute after every 25 km. If the trains began travelling at the same time, then how many kilometres did the local train travel in the time it took the express train to travel 600 km?
    1. A. 307.5 km       Correct Answer
    2. B. 900 km      
    3. C. 1200 Km      
    4. D. 1000 km      
  25.  

    Two trains of equal length are running on parallel lines in the same direction at 46 km and 36 km/hr. The faster train passes the slower train in 36 s. The length of each train is
    1. A. 50 m       Correct Answer
    2. B. 80 m      
    3. C. 72 m      
    4. D. 82 m      
  26.  

    There are 20 poles with a constant distance between each pole. A car takes 24 s to reach the 12th pole. How much time will it take to reach the last pole?
    1. A. 25.25 s     
    2. B. 17.45 s      
    3. C. 35.75s      
    4. D. 41.45s        Correct Answer
  27.  

    The jogging track in a sports complex is 726 m in circumference. Suresh and his wife start from the same point and walk in opposite directions at 4.5 km/hr and 3.75 km/hr, respectively. They will meet for the first time in
    1. A. 5.5 mins     
    2. B. 6.0 mins      
    3. C. 5.28 mins        Correct Answer
    4. D. 4.9 mins      
  28.  

    A student got down at a tram stop A and walked the remaining distance to school. If he had stayed in the tram until the next stop B and then walked to school he would have taken a minute longer. If he had walked the entire distance from A to school at twice his usual speed, he would have taken as much time as the tram would take for travelling from A to B. If the school is 300 m from A, and 100 m from B, the walking speed of the student in km/hr is
    1. A. 2 1/2     
    2. B. 3        Correct Answer
    3. C. 3 1/2      
    4. D. 4      
  29.  

    In a shopping Mall, Raja decided to walk down the escalator. He did some quick calculation in his mind. He found that if he walks down thirty steps, he requires 18s to reach the bottom. However, if he is able to step down thirty four stairs, he would only require 6 s to get to the bottom. If the time is measured from the moment the top step begins to descend to the time he steps off the last step at the bottom, the height of the stair way in steps is
    1. A. 46     
    2. B. 38      
    3. C. 36        Correct Answer
    4. D. 32      
  30.  

    A circular running path is 726 m in circumference. Two men start from the same point and walk in opposite directions @ 3.75 km/hr and 4.5 km/hr respectively. When will they meet for the first time?
    1. A. 5.5 mins     
    2. B. 6.0 mins      
    3. C. 5.28 mins        Correct Answer
    4. D. 4.9 mins      
  31.  

    The distance of P from Q is 7 km. An aeroplane flew from P to Q against the wind and then comes back in 22 mins. If its speed was decreased by 12 1/2% flying against the wind and increased by 5% when flying with the wind, how long would the flight have taken, had there been no wind?
    1. A. 15 mins     
    2. B. 21 mins        Correct Answer
    3. C. 36 mins      
    4. D. 60 mins      
  32.  

    Two trains 100 m and 80 m long, run at the rate of 30 km/ hr and 50 km/hr respectively on parallel rails. How long will it take a man sitting in the second train to pass the first train if they run in opposite direction?
    1. A. 2.4 s     
    2. B. 4.5 s        Correct Answer
    3. C. 8.35      
    4. D. 11.2 s      
  33.  

    Two trains, 100 km apart, travel towards each other on the same track. One train travels at 40 km/hr; the other travels at 60 km/hr. A bird starts flying at a speed of 90 km/hr, at the same location of the faster train. When it reaches the slower train, it turns around and flies in the opposite direction at the same speed. When it reaches the faster train, again it turns around and soon. When the two trains collide, how far has the bird flown?
    1. A. 90 km       Correct Answer
    2. B. 45 km      
    3. C. 180 km      
    4. D. 135 km      
  34.  

    A car travelled 75% of the distance from town A to B by travelling at T hrs at an average speed of Vkm/hr. The car travels at an average speed of S km/hr for the remaining part of the trip. Which of the following expressions represents the average speed for the entire trip?
    1. A. 12VS/V+S     
    2. B. 4VS/3S+V        Correct Answer
    3. C. VT/3S      
    4. D. None of these      
  35.  

    It takes eight hrs for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 mins more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to the speed of the car is
    1. A. 4:3     
    2. B. 3:4        Correct Answer
    3. C. 3:2      
    4. D. 2:3      
  36.  

    Points A and B are 70 km apart on a highway. One car starts from A and another one from B at the same time. If they travel in the same direction, they meet in 7 hrs. But if they travel towards each other, they meet in one hour. The speeds of the two cars are
    1. A. 45 and 25 km/hr     
    2. B. 70 and 10 km/hr      
    3. C. 40 and 30 km/hr        Correct Answer
    4. D. 60 and 40 km/hr      
  37.  

    If train runs at 40 km/hr, it reaches its destination late by 11 mins but if it runs at 50 km/hr it is late by 5 mins only. The correct time for the train to complete its journey is
    1. A. 13 mins     
    2. B. 15 mins      
    3. C. 19 mins        Correct Answer
    4. D. 21 mins      
  38.  

    A train of length 150 m takes 40.5 s to cross a tunnel of length 300 m. The speed of the train (in km/hr) is
    1. A. 13.33     
    2. B. 26.67      
    3. C. 40        Correct Answer
    4. D. 400      
  39.  

    A train 100 m long passes a bridge at the rate of 72 km/hr in 25 s. The length of the bridge is
    1. A. 150 m     
    2. B. 400 m        Correct Answer
    3. C. 300 m      
    4. D. 200 m      
  40.  

    A train 110 m in length travels at 60 km/hr. How much time does the train take in passing a man walking at 6 km/ hr against the train?
    1. A. 6 s       Correct Answer
    2. B. 12 s      
    3. C. 16 s      
    4. D. 18 s      
  41.  

    A train of 24 m length runs with a speed of 250 m/s. A man in the train at the tail end of the train runs with a speed of 10 m/s. When he reaches the front end he turns back with a speed of 6 m/s and this process continues. How many rounds (up and down) he will complete if the train runs 8 lans, providing that during running he will not loose contact with the train?
    1. A. 3     
    2. B. 4      
    3. C. 5        Correct Answer
    4. D. 6      
  42.  

    Two rackets approach each other, one at 42,000 mph and the other at 18,000 mph. They start 3256 miles apart. How far are they apart (in miles) 1 min before impact?
    1. A. 1628     
    2. B. 1000        Correct Answer
    3. C. 826      
    4. D. 1200      
  43.  

    Train X starts at 6.00 a.m. from a certain station with P km/hr and train Y starts at 8.30 a.m. from the same station at Q km/hr. If Q >P, then how many hrs will train Y take to overtake train X?
    1. A. 5P/2(Q-P) hrs       Correct Answer
    2. B. 2P/5(Q-P) hrs      
    3. C. 2(Q-P)/5P hrs      
    4. D. 5(Q-P)/2P hrs      
  44.  

    Wheels of diameters 7 cm and 14 cm start rolling simultaneously from X and Y, 1,980 cm apart, towards each other in opposite directions. Both of them make same number of revolutions per second. If both of them meet after 10 s, find the speed of the smaller wheel.
    1. A. 22 cm/s     
    2. B. 44 cm/s      
    3. C. 66 cm/s        Correct Answer
    4. D. 132 cm/s      
  45.  

    A lives on 9th floor and B lives on 44th floor. A goes up at a rate of 34 floors per minute and B comes down at a rate of 36 floors per minute. At which floor they will meet?
    1. A. 27     
    2. B. 26        Correct Answer
    3. C. 18      
    4. D. 32      
  46.  

    Two trains of equal length are running on parallel lines in the same direction @ 46 km and 36 km/hr. The faster train passes the slower train in 36 s. The length of each train is
    1. A. 50 mts.       Correct Answer
    2. B. 80 mts.      
    3. C. 72 mts.      
    4. D. 82 mts.      
  47.  

    A car travelled 80 km at 16 km/hr. What should be its average speed for next 4 hrs so that the total average speed becomes 14 km/hr?
    1. A. 15 km/hr     
    2. B. 11.5 km/hr        Correct Answer
    3. C. 15.4 km/hr      
    4. D. 12 km/hr      
  48.  

    Dinesh travels 760 km to his home, partly by train and partly by car. He takes 8 hrs if he travels 160 km by train and the rest by car. He takes 12 mins more if he travels 240 km by train and the rest by car. The speeds of the train and the car respectively are
    1. A. 80 km/hr, 100 km/hr       Correct Answer
    2. B. 100 km/hr, 80 km/hr      
    3. C. 120 km/hr, 100 km/hr      
    4. D. 100 km/hr, 120 km/hr      
  49.  

    In a flight of 3000 km, an aircraft was slowed down by bad weather. Its averae speed for the trip was reduced by 100 km/hr and the time increased by one hour. Find the original duration of the flight.
    1. A. 5 hrs       Correct Answer
    2. B. 6 hrs      
    3. C. 4 hrs      
    4. D. 10 hrs      
  50.  

    The diameter of a cycle wheel is 70 cm. A cyclist takes 30 hrs to reach a destination at the speed of 22 km/hr. How many revolutions will the wheel make during this journey?
    1. A. 3 million     
    2. B. 3 lakh        Correct Answer
    3. C. 4 lakh      
    4. D. None of these      

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