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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 241 · 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 running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  2. 2.A boat goes at 17 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 32 km upstream and come back?
  3. 3.Two trains, 60 m and 115 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?
  4. 4.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  5. 5.A boat goes 22 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.Two trains, 60 m and 180 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?
  7. 7.A boat goes 32 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  8. 8.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 48 km upstream and come back?
  9. 9.Two trains, 190 m and 110 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?
  10. 10.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  11. 11.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  12. 12.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  14. 14.Two trains, 100 m and 260 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?
  15. 15.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  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.Two trains, 80 m and 280 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?
  18. 18.A train 450 m long runs at 90 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 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  20. 20.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  21. 21.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 60 m and 270 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?
  23. 23.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 42 km upstream and come back?
  24. 24.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?
  25. 25.A boat goes 90 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  27. 27.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  28. 28.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  29. 29.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  31. 31.Two trains, 60 m and 215 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?
  32. 32.Two trains, 120 m and 210 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  33. 33.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  35. 35.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  36. 36.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 33 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  40. 40.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?

Answer key

  1. 105
  2. 17
  3. 5
  4. 17
  5. 8
  6. 12
  7. 5
  8. 10
  9. 10
  10. 340
  11. 36
  12. 25
  13. 21
  14. 9
  15. 45
  16. 3
  17. 12
  18. 18
  19. 18
  20. 36
  21. 5
  22. 11
  23. 8
  24. 16
  25. 1
  26. 5
  27. 210
  28. 32
  29. 10
  30. 13
  31. 11
  32. 11
  33. 8
  34. 20
  35. 32
  36. 28
  37. 29
  38. 1
  39. 41
  40. 16

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