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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 920 · 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 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  2. 2.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 110 m and 170 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?
  4. 4.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  5. 5.Two trains, 60 m and 80 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?
  6. 6.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  7. 7.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  8. 8.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 140 m and 220 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  11. 11.Two trains, 50 m and 50 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?
  12. 12.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  13. 13.A boat goes at 19 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 96 km upstream and come back?
  14. 14.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  16. 16.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  17. 17.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  18. 18.Two trains, 130 m and 290 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.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  20. 20.Two trains, 240 m and 145 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?
  21. 21.A boat goes 24 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  22. 22.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  23. 23.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  24. 24.A boat goes 88 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  25. 25.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  26. 26.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 54 km upstream and come back?
  27. 27.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  28. 28.A boat goes 72 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  30. 30.A boat goes 44 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  34. 34.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  36. 36.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)?
  37. 37.A boat goes at 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  38. 38.Two trains, 90 m and 120 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?
  39. 39.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  40. 40.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 120
  2. 15
  3. 7
  4. 30
  5. 4
  6. 34
  7. 240
  8. 14
  9. 11
  10. 12
  11. 4
  12. 450
  13. 19
  14. 30
  15. 80
  16. 23
  17. 200
  18. 12
  19. 120
  20. 11
  21. 2
  22. 190
  23. 31
  24. 2
  25. 150
  26. 24
  27. 28
  28. 3
  29. 30
  30. 3
  31. 13
  32. 25
  33. 19
  34. 16
  35. 25
  36. 9
  37. 26
  38. 6
  39. 20
  40. 16

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