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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 849 · 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 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  2. 2.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  3. 3.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  4. 4.Two trains, 80 m and 400 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?
  5. 5.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  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 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 84 km upstream and come back?
  8. 8.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  9. 9.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  10. 10.A boat goes at 15 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 112 km upstream and come back?
  11. 11.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  12. 12.Two trains, 240 m and 75 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 train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  14. 14.A train 190 m long runs at 36 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 17 seconds. How long is the train (in metres)?
  16. 16.Two trains, 100 m and 140 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?
  17. 17.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  19. 19.A boat goes at 7 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?
  20. 20.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 100 m and 80 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?
  22. 22.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes 44 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  25. 25.A boat goes 39 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  26. 26.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  27. 27.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  28. 28.Two trains, 160 m and 190 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?
  29. 29.Two trains, 120 m and 420 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?
  30. 30.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 21 km upstream and come back?
  31. 31.A boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 60 km upstream and come back?
  32. 32.A boat goes 92 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A boat goes 88 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  37. 37.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  38. 38.Two trains, 190 m and 110 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?
  39. 39.Two trains, 240 m and 75 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?
  40. 40.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 125
  2. 31
  3. 33
  4. 12
  5. 27
  6. 20
  7. 21
  8. 230
  9. 15
  10. 15
  11. 255
  12. 9
  13. 140
  14. 19
  15. 170
  16. 8
  17. 10
  18. 325
  19. 7
  20. 14
  21. 9
  22. 28
  23. 2
  24. 450
  25. 4
  26. 320
  27. 11
  28. 10
  29. 12
  30. 4
  31. 13
  32. 18
  33. 19
  34. 11
  35. 14
  36. 20
  37. 28
  38. 12
  39. 9
  40. 5

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