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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 674 · 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 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 11 km upstream and come back?
  3. 3.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 78 km upstream and come back?
  5. 5.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  6. 6.Two trains, 160 m and 340 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 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 40 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  12. 12.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  13. 13.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  14. 14.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 108 km upstream and come back?
  15. 15.Two trains, 150 m and 130 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?
  16. 16.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  17. 17.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  18. 18.A boat goes 51 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A boat goes 63 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  20. 20.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 48 km upstream and come back?
  21. 21.Two trains, 60 m and 115 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?
  22. 22.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  23. 23.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  24. 24.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  25. 25.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  26. 26.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  28. 28.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  29. 29.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  30. 30.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  31. 31.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  33. 33.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  34. 34.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  35. 35.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  36. 36.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  37. 37.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  38. 38.Two trains, 50 m and 75 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.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  40. 40.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 7
  2. 12
  3. 9
  4. 32
  5. 390
  6. 10
  7. 15
  8. 21
  9. 4
  10. 9
  11. 16
  12. 625
  13. 16
  14. 63
  15. 8
  16. 23
  17. 21
  18. 14
  19. 2
  20. 30
  21. 5
  22. 31
  23. 28
  24. 100
  25. 9
  26. 13
  27. 15
  28. 41
  29. 29
  30. 16
  31. 8
  32. 650
  33. 17
  34. 22
  35. 180
  36. 27
  37. 19
  38. 5
  39. 525
  40. 30

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