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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 903 · 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 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  2. 2.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  3. 3.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  4. 4.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 63 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  6. 6.Two trains, 80 m and 120 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?
  7. 7.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  8. 8.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 120 m and 180 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?
  10. 10.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  11. 11.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  12. 12.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 140 m and 135 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?
  15. 15.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.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 48 km upstream and come back?
  17. 17.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes 80 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  20. 20.Two trains, 120 m and 280 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  21. 21.Two trains, 60 m and 115 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?
  22. 22.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  23. 23.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  24. 24.Two trains, 220 m and 95 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 boat goes 44 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  27. 27.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  28. 28.A boat goes 22 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  30. 30.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?
  31. 31.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 60 km upstream and come back?
  33. 33.Two trains, 220 m and 100 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?
  34. 34.A train 420 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 6 km/h. How many hours does the boat take to go 28 km upstream and come back?
  36. 36.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  37. 37.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  39. 39.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  40. 40.A boat goes 36 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 220
  2. 375
  3. 26
  4. 23
  5. 3
  6. 8
  7. 240
  8. 14
  9. 10
  10. 150
  11. 19
  12. 13
  13. 20
  14. 11
  15. 7
  16. 20
  17. 6
  18. 15
  19. 25
  20. 10
  21. 7
  22. 22
  23. 20
  24. 9
  25. 17
  26. 30
  27. 26
  28. 3
  29. 14
  30. 30
  31. 26
  32. 9
  33. 8
  34. 28
  35. 16
  36. 600
  37. 27
  38. 280
  39. 35
  40. 3

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