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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 349 · 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 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  3. 3.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  4. 4.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  6. 6.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  7. 7.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  8. 8.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 40 km upstream and come back?
  9. 9.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  11. 11.Two trains, 140 m and 160 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  12. 12.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  14. 14.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  15. 15.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  17. 17.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  20. 20.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 78 km upstream and come back?
  21. 21.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 60 m and 240 m long, run towards each other on side-by-side tracks at 36 km/h and 72 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 23 seconds. How long is the train (in metres)?
  24. 24.A boat goes at 16 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 31 km upstream and come back?
  25. 25.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  26. 26.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes 64 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  28. 28.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 120 km upstream and come back?
  29. 29.Two trains, 60 m and 80 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?
  30. 30.Two trains, 90 m and 110 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?
  31. 31.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  32. 32.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  34. 34.Two trains, 200 m and 75 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?
  35. 35.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 24 km upstream and come back?
  36. 36.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 130 m and 80 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?
  39. 39.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  40. 40.A boat goes at 14 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 40 km upstream and come back?

Answer key

  1. 7
  2. 290
  3. 23
  4. 11
  5. 27
  6. 22
  7. 550
  8. 24
  9. 9
  10. 90
  11. 10
  12. 7
  13. 32
  14. 100
  15. 26
  16. 18
  17. 28
  18. 24
  19. 375
  20. 32
  21. 16
  22. 10
  23. 230
  24. 32
  25. 32
  26. 28
  27. 4
  28. 35
  29. 7
  30. 10
  31. 18
  32. 25
  33. 31
  34. 11
  35. 10
  36. 8
  37. 9
  38. 7
  39. 100
  40. 7

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