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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 708 · 40 questions
TalentJR

The method (Length and relative speed): Change km/h to m/s (× 5/18) when lengths are in metres and time in seconds. Pole: time = train length ÷ speed. Platform: (train + platform) ÷ speed. Towards each other: add the speeds; same direction: take them away. Cover both lengths. Downstream = boat + stream; upstream = boat − stream. Boat = (down + up) ÷ 2; stream = (down − up) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  2. 2.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  4. 4.Two trains, 170 m and 145 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  5. 5.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 84 km upstream and come back?
  6. 6.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  7. 7.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  8. 8.A boat goes 30 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 99 km upstream and come back?
  10. 10.A boat goes 45 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  11. 11.Two trains, 50 m and 310 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  12. 12.A boat goes 44 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A boat goes 16 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  15. 15.Two trains, 100 m and 150 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  16. 16.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  17. 17.A boat goes 36 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  19. 19.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  20. 20.Two trains, 70 m and 50 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  21. 21.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 200 m and 200 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  23. 23.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  24. 24.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes 66 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  27. 27.A boat goes at 15 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 52 km upstream and come back?
  28. 28.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  29. 29.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  30. 30.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 20 km upstream and come back?
  31. 31.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  32. 32.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  33. 33.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  34. 34.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  35. 35.Two trains, 130 m and 115 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  36. 36.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 48 km upstream and come back?
  37. 37.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  38. 38.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 112 km upstream and come back?
  39. 39.A boat goes 40 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  40. 40.Two trains, 110 m and 70 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?

Answer key

  1. 24
  2. 28
  3. 21
  4. 7
  5. 28
  6. 200
  7. 17
  8. 6
  9. 110
  10. 3
  11. 8
  12. 18
  13. 7
  14. 220
  15. 10
  16. 270
  17. 4
  18. 300
  19. 27
  20. 4
  21. 30
  22. 8
  23. 150
  24. 15
  25. 20
  26. 350
  27. 15
  28. 14
  29. 270
  30. 3
  31. 285
  32. 31
  33. 20
  34. 33
  35. 7
  36. 14
  37. 10
  38. 64
  39. 3
  40. 6

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