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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 405 · 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 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  2. 2.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  3. 3.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  4. 4.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  5. 5.Two trains, 130 m and 200 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?
  6. 6.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 50 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A boat goes at 13 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?
  9. 9.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  10. 10.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  11. 11.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  12. 12.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  14. 14.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  15. 15.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 80 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  18. 18.Two trains, 50 m and 370 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?
  19. 19.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.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)?
  21. 21.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  22. 22.A boat goes 22 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  24. 24.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes 51 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  29. 29.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  30. 30.Two trains, 120 m and 160 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?
  31. 31.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  32. 32.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  33. 33.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.Two trains, 130 m and 290 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?
  35. 35.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  36. 36.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.Two trains, 100 m and 200 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?
  38. 38.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes at 16 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 87 km upstream and come back?
  40. 40.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?

Answer key

  1. 13
  2. 50
  3. 22
  4. 11
  5. 11
  6. 24
  7. 20
  8. 13
  9. 22
  10. 15
  11. 31
  12. 14
  13. 25
  14. 375
  15. 12
  16. 14
  17. 32
  18. 12
  19. 21
  20. 15
  21. 90
  22. 1
  23. 20
  24. 16
  25. 7
  26. 22
  27. 1
  28. 26
  29. 29
  30. 7
  31. 540
  32. 300
  33. 6
  34. 12
  35. 270
  36. 10
  37. 12
  38. 9
  39. 32
  40. 165

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