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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 596 · 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 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  2. 2.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  4. 4.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  5. 5.A boat goes at 17 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 96 km upstream and come back?
  6. 6.A boat goes 60 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  8. 8.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  9. 9.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  11. 11.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 72 km upstream and come back?
  12. 12.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  13. 13.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  14. 14.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 112 km upstream and come back?
  16. 16.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  17. 17.Two trains, 70 m and 380 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?
  18. 18.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  20. 20.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes at 14 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 27 km upstream and come back?
  22. 22.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  23. 23.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  24. 24.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 36 km upstream and come back?
  25. 25.Two trains, 70 m and 150 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?
  26. 26.Two trains, 150 m and 170 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?
  27. 27.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  28. 28.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  29. 29.Two trains, 100 m and 200 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  30. 30.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 105 km upstream and come back?
  31. 31.Two trains, 70 m and 90 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  32. 32.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  33. 33.A boat goes 60 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 32 km upstream and come back?
  35. 35.Two trains, 80 m and 130 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?
  36. 36.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 42 km upstream and come back?
  37. 37.A boat goes 32 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  38. 38.Two trains, 60 m and 90 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?
  39. 39.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 110 m and 100 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?

Answer key

  1. 28
  2. 5
  3. 195
  4. 260
  5. 51
  6. 7
  7. 475
  8. 450
  9. 27
  10. 460
  11. 80
  12. 435
  13. 33
  14. 5
  15. 70
  16. 150
  17. 10
  18. 8
  19. 38
  20. 12
  21. 28
  22. 250
  23. 160
  24. 9
  25. 11
  26. 8
  27. 23
  28. 220
  29. 12
  30. 20
  31. 4
  32. 36
  33. 15
  34. 10
  35. 6
  36. 20
  37. 4
  38. 5
  39. 21
  40. 7

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