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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 427 · 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.

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  1. 1.Two trains, 200 m and 200 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?
  2. 2.Two trains, 200 m and 80 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?
  3. 3.A boat goes 66 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  4. 4.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?
  5. 5.A boat goes at 20 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 111 km upstream and come back?
  6. 6.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes at 14 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 52 km upstream and come back?
  8. 8.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  9. 9.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 90 km upstream and come back?
  11. 11.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  12. 12.A boat goes 63 km downstream in 3 hours and 57 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  13. 13.A boat goes at 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  14. 14.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 16 km upstream and come back?
  15. 15.A boat goes 57 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 15 km upstream and come back?
  18. 18.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  19. 19.Two trains, 90 m and 185 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?
  20. 20.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  21. 21.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 24 km upstream and come back?
  22. 22.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  23. 23.A boat goes at 20 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 96 km upstream and come back?
  24. 24.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 54 km upstream and come back?
  25. 25.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  27. 27.A boat goes 56 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)?
  28. 28.Two trains, 90 m and 185 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?
  29. 29.A boat goes at 19 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 120 km upstream and come back?
  30. 30.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 20 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  33. 33.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  34. 34.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.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)?
  36. 36.A boat goes at 18 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 32 km upstream and come back?
  37. 37.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  38. 38.A boat goes 56 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  40. 40.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 10
  2. 7
  3. 4
  4. 20
  5. 40
  6. 20
  7. 28
  8. 33
  9. 23
  10. 36
  11. 14
  12. 1
  13. 24
  14. 10
  15. 17
  16. 18
  17. 6
  18. 24
  19. 11
  20. 650
  21. 10
  22. 25
  23. 10
  24. 56
  25. 7
  26. 33
  27. 9
  28. 11
  29. 19
  30. 8
  31. 8
  32. 32
  33. 560
  34. 8
  35. 3
  36. 9
  37. 34
  38. 12
  39. 90
  40. 22

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