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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 30 · 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 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  3. 3.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  4. 4.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  5. 5.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  6. 6.Two trains, 130 m and 220 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  7. 7.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  9. 9.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 40 km upstream and come back?
  10. 10.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  11. 11.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  13. 13.A boat goes 95 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A boat goes 56 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  15. 15.Two trains, 70 m and 140 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?
  16. 16.Two trains, 70 m and 110 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?
  17. 17.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  18. 18.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  19. 19.Two trains, 140 m and 110 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?
  20. 20.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  21. 21.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  22. 22.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  23. 23.A boat goes 22 km downstream in 2 hours and 2 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes at 17 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 32 km upstream and come back?
  25. 25.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 84 km upstream and come back?
  27. 27.A boat goes 45 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  28. 28.Two trains, 90 m and 120 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  29. 29.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  30. 30.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  31. 31.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  32. 32.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  33. 33.Two trains, 110 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?
  34. 34.A boat goes 45 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  36. 36.Two trains, 50 m and 300 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?
  37. 37.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  39. 39.A boat goes 50 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  40. 40.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 56 km upstream and come back?

Answer key

  1. 29
  2. 20
  3. 120
  4. 24
  5. 10
  6. 7
  7. 7
  8. 165
  9. 14
  10. 36
  11. 7
  12. 225
  13. 15
  14. 1
  15. 6
  16. 9
  17. 26
  18. 20
  19. 10
  20. 220
  21. 31
  22. 195
  23. 5
  24. 17
  25. 21
  26. 45
  27. 3
  28. 7
  29. 23
  30. 30
  31. 150
  32. 30
  33. 10
  34. 6
  35. 25
  36. 10
  37. 15
  38. 13
  39. 2
  40. 21

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