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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 96 · 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 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  2. 2.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  4. 4.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  7. 7.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.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?
  10. 10.A boat goes 60 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  11. 11.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  12. 12.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes at 20 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 36 km upstream and come back?
  14. 14.Two trains, 90 m and 225 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?
  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 87 km upstream and come back?
  16. 16.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 55 km upstream and come back?
  17. 17.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  18. 18.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  19. 19.A boat goes 24 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.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 24 km upstream and come back?
  21. 21.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  22. 22.A boat goes 32 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A boat goes 76 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.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 60 km upstream and come back?
  25. 25.Two trains, 170 m and 55 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?
  26. 26.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  27. 27.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  28. 28.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  29. 29.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  30. 30.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  31. 31.Two trains, 160 m and 65 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  32. 32.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 91 km upstream and come back?
  33. 33.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  34. 34.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  37. 37.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 40 km upstream and come back?
  38. 38.Two trains, 180 m and 65 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?
  39. 39.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  40. 40.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 125
  2. 20
  3. 13
  4. 12
  5. 5
  6. 400
  7. 28
  8. 7
  9. 10
  10. 3
  11. 34
  12. 6
  13. 10
  14. 9
  15. 90
  16. 16
  17. 28
  18. 20
  19. 4
  20. 7
  21. 32
  22. 6
  23. 1
  24. 21
  25. 5
  26. 210
  27. 540
  28. 15
  29. 11
  30. 360
  31. 5
  32. 98
  33. 255
  34. 17
  35. 25
  36. 25
  37. 6
  38. 7
  39. 31
  40. 24

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