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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 117 · 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 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  3. 3.A boat goes at 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 33 km upstream and come back?
  4. 4.A boat goes 30 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A boat goes 26 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  6. 6.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  7. 7.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  8. 8.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  9. 9.Two trains, 170 m and 130 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?
  10. 10.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  11. 11.Two trains, 160 m and 200 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?
  12. 12.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  13. 13.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  15. 15.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 39 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 108 km upstream and come back?
  18. 18.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  19. 19.Two trains, 220 m and 260 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  20. 20.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 56 km upstream and come back?
  21. 21.A boat goes at 11 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 48 km upstream and come back?
  22. 22.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  23. 23.Two trains, 150 m and 70 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  24. 24.A boat goes 40 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  26. 26.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  27. 27.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  28. 28.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes 44 km downstream in 4 hours and 4 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  30. 30.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  31. 31.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  32. 32.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  33. 33.A boat goes 42 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  34. 34.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  35. 35.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  36. 36.A boat goes 30 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  38. 38.Two trains, 180 m and 90 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?
  39. 39.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  40. 40.Two trains, 170 m and 55 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?

Answer key

  1. 13
  2. 42
  3. 12
  4. 14
  5. 4
  6. 105
  7. 14
  8. 16
  9. 12
  10. 29
  11. 12
  12. 28
  13. 17
  14. 29
  15. 23
  16. 9
  17. 33
  18. 27
  19. 12
  20. 11
  21. 11
  22. 38
  23. 11
  24. 4
  25. 25
  26. 435
  27. 32
  28. 10
  29. 5
  30. 420
  31. 30
  32. 400
  33. 2
  34. 90
  35. 75
  36. 3
  37. 21
  38. 6
  39. 19
  40. 9

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