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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 364 · 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 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  2. 2.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  3. 3.Two trains, 130 m and 90 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?
  4. 4.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  10. 10.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  11. 11.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 96 km upstream and come back?
  12. 12.A boat goes 34 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  14. 14.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 75 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  17. 17.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  19. 19.Two trains, 140 m and 100 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 train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  21. 21.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 63 km upstream and come back?
  23. 23.A boat goes at 17 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 33 km upstream and come back?
  24. 24.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  25. 25.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  26. 26.A boat goes 60 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 130 m and 145 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 train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  31. 31.A boat goes at 20 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 84 km upstream and come back?
  32. 32.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?
  33. 33.A boat goes 85 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.Two trains, 150 m and 95 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?
  35. 35.Two trains, 120 m and 300 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?
  36. 36.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  37. 37.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.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)?

Answer key

  1. 12
  2. 32
  3. 11
  4. 7
  5. 23
  6. 27
  7. 26
  8. 21
  9. 27
  10. 28
  11. 36
  12. 13
  13. 210
  14. 14
  15. 10
  16. 3
  17. 25
  18. 285
  19. 6
  20. 240
  21. 6
  22. 70
  23. 34
  24. 25
  25. 160
  26. 2
  27. 8
  28. 11
  29. 11
  30. 23
  31. 10
  32. 26
  33. 15
  34. 7
  35. 12
  36. 140
  37. 28
  38. 29
  39. 21
  40. 3

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