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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 600 · 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 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  2. 2.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes 90 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  4. 4.Two trains, 120 m and 360 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?
  5. 5.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  6. 6.Two trains, 120 m and 60 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?
  7. 7.Two trains, 200 m and 150 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?
  8. 8.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  9. 9.A boat goes at 20 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 96 km upstream and come back?
  10. 10.A boat goes 48 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)?
  11. 11.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)?
  12. 12.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  14. 14.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.Two trains, 190 m and 210 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?
  18. 18.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  19. 19.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.Two trains, 120 m and 280 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?
  21. 21.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  22. 22.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  23. 23.A boat goes 40 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  25. 25.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  26. 26.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  27. 27.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  28. 28.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  29. 29.Two trains, 60 m and 120 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?
  30. 30.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.Two trains, 140 m and 220 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  32. 32.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  34. 34.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  36. 36.Two trains, 70 m and 50 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?
  37. 37.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes at 15 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 63 km upstream and come back?
  39. 39.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  40. 40.A boat goes at 20 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 84 km upstream and come back?

Answer key

  1. 11
  2. 18
  3. 2
  4. 12
  5. 25
  6. 6
  7. 10
  8. 225
  9. 10
  10. 12
  11. 8
  12. 5
  13. 160
  14. 13
  15. 20
  16. 26
  17. 10
  18. 240
  19. 10
  20. 10
  21. 16
  22. 140
  23. 7
  24. 30
  25. 42
  26. 24
  27. 300
  28. 25
  29. 9
  30. 8
  31. 8
  32. 5
  33. 34
  34. 24
  35. 280
  36. 6
  37. 28
  38. 10
  39. 12
  40. 10

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