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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 649 · 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 boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  2. 2.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  3. 3.A boat goes at 20 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 38 km upstream and come back?
  4. 4.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  5. 5.Two trains, 130 m and 470 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?
  6. 6.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  7. 7.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  8. 8.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  9. 9.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  10. 10.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  12. 12.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  13. 13.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  14. 14.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  15. 15.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  16. 16.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  17. 17.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes 34 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  19. 19.Two trains, 210 m and 190 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  20. 20.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  21. 21.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes at 20 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 48 km upstream and come back?
  23. 23.Two trains, 160 m and 260 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  24. 24.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  25. 25.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  26. 26.Two trains, 90 m and 190 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?
  27. 27.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  28. 28.Two trains, 240 m and 60 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?
  29. 29.A boat goes 46 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  30. 30.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  31. 31.A boat goes at 18 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 105 km upstream and come back?
  32. 32.Two trains, 130 m and 200 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?
  33. 33.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 117 km upstream and come back?
  34. 34.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  35. 35.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  36. 36.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  39. 39.Two trains, 130 m and 50 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  40. 40.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 70 km upstream and come back?

Answer key

  1. 22
  2. 90
  3. 20
  4. 29
  5. 12
  6. 16
  7. 33
  8. 480
  9. 225
  10. 22
  11. 22
  12. 13
  13. 25
  14. 28
  15. 19
  16. 27
  17. 29
  18. 2
  19. 10
  20. 10
  21. 12
  22. 5
  23. 12
  24. 22
  25. 13
  26. 8
  27. 100
  28. 10
  29. 5
  30. 70
  31. 12
  32. 11
  33. 126
  34. 17
  35. 23
  36. 26
  37. 18
  38. 80
  39. 9
  40. 42

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