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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 858 · 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 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  2. 2.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 63 km upstream and come back?
  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 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 64 km upstream and come back?
  5. 5.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  6. 6.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  7. 7.A boat goes 22 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  8. 8.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  9. 9.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  10. 10.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  11. 11.A boat goes 45 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  14. 14.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  15. 15.A boat goes 30 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A boat goes 42 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  17. 17.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  18. 18.Two trains, 90 m and 85 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  19. 19.Two trains, 120 m and 90 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  20. 20.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  21. 21.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  22. 22.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  23. 23.A boat goes 45 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  26. 26.A boat goes 35 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A boat goes 42 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  28. 28.A boat goes at 20 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 84 km upstream and come back?
  29. 29.A boat goes at 17 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 93 km upstream and come back?
  30. 30.A boat goes 88 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  31. 31.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 24 km upstream and come back?
  32. 32.A boat goes 60 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  33. 33.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  35. 35.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.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 42 km upstream and come back?
  37. 37.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 130 m and 70 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?
  40. 40.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 17
  2. 66
  3. 195
  4. 34
  5. 240
  6. 130
  7. 2
  8. 20
  9. 12
  10. 23
  11. 5
  12. 23
  13. 165
  14. 28
  15. 12
  16. 1
  17. 32
  18. 5
  19. 6
  20. 70
  21. 18
  22. 75
  23. 2
  24. 23
  25. 27
  26. 6
  27. 3
  28. 10
  29. 34
  30. 4
  31. 13
  32. 1
  33. 7
  34. 28
  35. 13
  36. 24
  37. 22
  38. 21
  39. 5
  40. 5

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