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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 308 · 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 boat goes 48 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A boat goes 40 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  3. 3.A boat goes 95 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  5. 5.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  6. 6.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  7. 7.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  9. 9.Two trains, 110 m and 165 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?
  10. 10.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  11. 11.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 24 km upstream and come back?
  12. 12.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  13. 13.Two trains, 130 m and 255 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?
  14. 14.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  15. 15.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  17. 17.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  18. 18.Two trains, 240 m and 60 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?
  19. 19.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  20. 20.Two trains, 200 m and 100 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.Two trains, 140 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 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 28 km upstream and come back?
  24. 24.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  25. 25.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  26. 26.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  27. 27.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  28. 28.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes at 16 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 96 km upstream and come back?
  30. 30.A boat goes 65 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)?
  31. 31.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  32. 32.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 18 km upstream and come back?
  34. 34.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  36. 36.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  38. 38.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  40. 40.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 72 km upstream and come back?

Answer key

  1. 19
  2. 2
  3. 18
  4. 37
  5. 26
  6. 21
  7. 23
  8. 23
  9. 11
  10. 14
  11. 5
  12. 15
  13. 11
  14. 160
  15. 22
  16. 3
  17. 280
  18. 6
  19. 25
  20. 12
  21. 11
  22. 23
  23. 9
  24. 35
  25. 80
  26. 300
  27. 41
  28. 29
  29. 16
  30. 8
  31. 560
  32. 9
  33. 10
  34. 8
  35. 16
  36. 27
  37. 120
  38. 12
  39. 33
  40. 18

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