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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 452 · 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 at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 60 km upstream and come back?
  2. 2.Two trains, 70 m and 280 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?
  3. 3.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  4. 4.Two trains, 70 m and 290 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  5. 5.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  6. 6.A boat goes at 20 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 120 km upstream and come back?
  7. 7.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  8. 8.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  9. 9.Two trains, 190 m and 125 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?
  10. 10.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  11. 11.Two trains, 130 m and 95 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?
  12. 12.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  14. 14.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 90 km upstream and come back?
  15. 15.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 84 km upstream and come back?
  16. 16.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes at 18 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 112 km upstream and come back?
  18. 18.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  19. 19.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  20. 20.A boat goes 22 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  21. 21.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  22. 22.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.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 22 km upstream and come back?
  26. 26.Two trains, 50 m and 430 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  27. 27.Two trains, 140 m and 210 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?
  28. 28.Two trains, 100 m and 400 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?
  29. 29.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  30. 30.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 180 m and 220 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  32. 32.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  33. 33.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  34. 34.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  35. 35.A boat goes 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  37. 37.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  38. 38.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  39. 39.A boat goes at 17 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 84 km upstream and come back?
  40. 40.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?

Answer key

  1. 25
  2. 10
  3. 26
  4. 9
  5. 21
  6. 16
  7. 28
  8. 29
  9. 7
  10. 22
  11. 9
  12. 19
  13. 16
  14. 16
  15. 20
  16. 16
  17. 18
  18. 130
  19. 170
  20. 2
  21. 28
  22. 24
  23. 19
  24. 20
  25. 24
  26. 12
  27. 7
  28. 10
  29. 180
  30. 21
  31. 10
  32. 450
  33. 32
  34. 38
  35. 10
  36. 100
  37. 25
  38. 165
  39. 17
  40. 25

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