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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 895 · 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 running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  2. 2.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  5. 5.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  6. 6.A boat goes at 13 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 48 km upstream and come back?
  7. 7.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  8. 8.Two trains, 120 m and 80 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?
  9. 9.A boat goes 50 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  10. 10.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  11. 11.A boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 60 km upstream and come back?
  12. 12.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?
  13. 13.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  14. 14.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  15. 15.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 29 km upstream and come back?
  16. 16.A boat goes 33 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  17. 17.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  18. 18.A boat goes 38 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  19. 19.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes 72 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.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 98 km upstream and come back?
  22. 22.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  24. 24.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  25. 25.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  26. 26.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  27. 27.Two trains, 190 m and 85 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?
  28. 28.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  30. 30.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  31. 31.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes 54 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  33. 33.A boat goes 24 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  35. 35.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  36. 36.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 100 km upstream and come back?
  37. 37.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  39. 39.Two trains, 180 m and 70 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?
  40. 40.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 460
  2. 19
  3. 8
  4. 240
  5. 19
  6. 26
  7. 125
  8. 8
  9. 2
  10. 16
  11. 13
  12. 18
  13. 9
  14. 27
  15. 30
  16. 4
  17. 225
  18. 4
  19. 22
  20. 19
  21. 56
  22. 27
  23. 42
  24. 33
  25. 12
  26. 22
  27. 11
  28. 10
  29. 36
  30. 240
  31. 21
  32. 1
  33. 2
  34. 24
  35. 200
  36. 35
  37. 23
  38. 200
  39. 10
  40. 29

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