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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 515 · 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 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  2. 2.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 105 km upstream and come back?
  3. 3.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  4. 4.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.Two trains, 120 m and 90 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?
  7. 7.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 64 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  10. 10.A boat goes at 12 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 63 km upstream and come back?
  11. 11.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?
  12. 12.Two trains, 60 m and 80 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?
  13. 13.A boat goes 38 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  14. 14.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 44 km upstream and come back?
  15. 15.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 52 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  17. 17.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  19. 19.A boat goes 34 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.A boat goes 28 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  21. 21.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  22. 22.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  23. 23.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  24. 24.Two trains, 70 m and 70 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?
  25. 25.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  27. 27.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 18 km upstream and come back?
  28. 28.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?
  29. 29.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  30. 30.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  32. 32.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  33. 33.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 102 km upstream and come back?
  34. 34.A boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.Two trains, 120 m and 80 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?
  36. 36.Two trains, 120 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?
  37. 37.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  38. 38.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 96 km upstream and come back?
  39. 39.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  40. 40.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 28
  2. 36
  3. 405
  4. 12
  5. 7
  6. 7
  7. 22
  8. 24
  9. 4
  10. 24
  11. 98
  12. 4
  13. 1
  14. 13
  15. 26
  16. 5
  17. 11
  18. 29
  19. 4
  20. 3
  21. 180
  22. 30
  23. 24
  24. 4
  25. 25
  26. 280
  27. 8
  28. 18
  29. 255
  30. 16
  31. 16
  32. 29
  33. 40
  34. 20
  35. 8
  36. 5
  37. 16
  38. 56
  39. 43
  40. 22

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