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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 715 · 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 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  2. 2.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  3. 3.Two trains, 220 m and 280 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?
  4. 4.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  8. 8.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  9. 9.Two trains, 70 m and 245 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?
  10. 10.Two trains, 120 m and 90 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?
  11. 11.A boat goes 105 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)?
  12. 12.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  13. 13.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 110 km upstream and come back?
  14. 14.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 20 km upstream and come back?
  15. 15.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  16. 16.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)?
  17. 17.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  18. 18.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  19. 19.Two trains, 160 m and 380 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  20. 20.Two trains, 150 m and 125 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?
  21. 21.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  22. 22.A boat goes 14 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  25. 25.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  26. 26.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  28. 28.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  29. 29.A boat goes 80 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  30. 30.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  31. 31.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  32. 32.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?
  33. 33.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  34. 34.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  35. 35.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  37. 37.A boat goes 64 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  39. 39.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 80 m and 270 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?

Answer key

  1. 22
  2. 180
  3. 10
  4. 10
  5. 16
  6. 26
  7. 33
  8. 315
  9. 9
  10. 6
  11. 17
  12. 25
  13. 32
  14. 7
  15. 39
  16. 2
  17. 27
  18. 22
  19. 12
  20. 11
  21. 450
  22. 1
  23. 13
  24. 25
  25. 260
  26. 7
  27. 18
  28. 27
  29. 5
  30. 28
  31. 39
  32. 11
  33. 70
  34. 28
  35. 12
  36. 14
  37. 13
  38. 22
  39. 20
  40. 10

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