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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 394 · 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 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  2. 2.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 100 km upstream and come back?
  3. 3.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 65 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  5. 5.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  6. 6.Two trains, 130 m and 50 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?
  7. 7.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  8. 8.A boat goes 60 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  10. 10.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 12 km upstream and come back?
  11. 11.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  12. 12.Two trains, 100 m and 180 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  13. 13.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 12 km upstream and come back?
  14. 14.A boat goes 51 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  15. 15.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  16. 16.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  17. 17.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  19. 19.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 66 km upstream and come back?
  20. 20.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  21. 21.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  22. 22.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  23. 23.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.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 120 km upstream and come back?
  25. 25.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  26. 26.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  27. 27.Two trains, 120 m and 300 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?
  28. 28.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  30. 30.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  31. 31.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes 72 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 44 km upstream and come back?
  35. 35.Two trains, 100 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?
  36. 36.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  37. 37.A boat goes at 14 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  38. 38.Two trains, 130 m and 95 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?
  39. 39.Two trains, 60 m and 540 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?
  40. 40.A boat goes at 17 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?

Answer key

  1. 21
  2. 60
  3. 22
  4. 4
  5. 220
  6. 6
  7. 35
  8. 11
  9. 25
  10. 4
  11. 38
  12. 8
  13. 5
  14. 3
  15. 280
  16. 520
  17. 27
  18. 32
  19. 72
  20. 31
  21. 450
  22. 36
  23. 12
  24. 40
  25. 30
  26. 80
  27. 12
  28. 30
  29. 24
  30. 200
  31. 8
  32. 20
  33. 6
  34. 48
  35. 5
  36. 21
  37. 14
  38. 5
  39. 12
  40. 17

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