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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 610 · 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 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 40 km upstream and come back?
  2. 2.Two trains, 60 m and 100 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?
  3. 3.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.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 80 km upstream and come back?
  5. 5.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 63 km upstream and come back?
  6. 6.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  7. 7.A boat goes 90 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  8. 8.Two trains, 50 m and 125 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?
  9. 9.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  10. 10.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.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)?
  12. 12.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.Two trains, 90 m and 120 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?
  14. 14.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 80 km upstream and come back?
  15. 15.Two trains, 50 m and 250 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  16. 16.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  18. 18.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 70 km upstream and come back?
  20. 20.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 27 km upstream and come back?
  21. 21.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  22. 22.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  23. 23.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  24. 24.Two trains, 120 m and 265 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?
  25. 25.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes 42 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  29. 29.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes at 14 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 115 km upstream and come back?
  31. 31.A boat goes 48 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.Two trains, 130 m and 170 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  33. 33.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  34. 34.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  35. 35.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 108 km upstream and come back?
  36. 36.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 40 km upstream and come back?
  37. 37.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  40. 40.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?

Answer key

  1. 15
  2. 8
  3. 14
  4. 50
  5. 28
  6. 125
  7. 4
  8. 5
  9. 20
  10. 8
  11. 5
  12. 7
  13. 6
  14. 18
  15. 10
  16. 7
  17. 14
  18. 30
  19. 24
  20. 30
  21. 165
  22. 24
  23. 31
  24. 11
  25. 20
  26. 21
  27. 17
  28. 38
  29. 23
  30. 28
  31. 8
  32. 10
  33. 34
  34. 32
  35. 48
  36. 24
  37. 16
  38. 13
  39. 325
  40. 38

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