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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 945 · 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 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  2. 2.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 57 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A boat goes 50 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  6. 6.A boat goes at 10 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 90 km upstream and come back?
  7. 7.A boat goes 30 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  9. 9.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  10. 10.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 35 km upstream and come back?
  11. 11.Two trains, 50 m and 70 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?
  12. 12.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  13. 13.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  14. 14.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  15. 15.Two trains, 150 m and 235 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?
  16. 16.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  17. 17.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes at 14 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?
  19. 19.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  21. 21.A boat goes at 15 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 52 km upstream and come back?
  22. 22.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  23. 23.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  24. 24.Two trains, 80 m and 195 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?
  25. 25.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  26. 26.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 60 m and 80 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?
  30. 30.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  32. 32.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  33. 33.A boat goes 36 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  36. 36.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?
  37. 37.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  38. 38.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 230 m and 155 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  40. 40.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 19
  2. 9
  3. 6
  4. 15
  5. 2
  6. 24
  7. 9
  8. 70
  9. 27
  10. 12
  11. 4
  12. 140
  13. 27
  14. 400
  15. 11
  16. 44
  17. 30
  18. 35
  19. 26
  20. 100
  21. 15
  22. 24
  23. 26
  24. 11
  25. 30
  26. 23
  27. 23
  28. 24
  29. 4
  30. 28
  31. 22
  32. 24
  33. 8
  34. 14
  35. 13
  36. 24
  37. 390
  38. 25
  39. 11
  40. 9

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