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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 492 · 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 pass a pole?
  2. 2.A boat goes at 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  3. 3.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  4. 4.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  5. 5.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  6. 6.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  7. 7.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  8. 8.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  9. 9.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes 63 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  11. 11.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  12. 12.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)?
  13. 13.Two trains, 240 m and 90 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?
  14. 14.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  15. 15.A boat goes 44 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes at 16 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 84 km upstream and come back?
  17. 17.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  18. 18.Two trains, 100 m and 150 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?
  19. 19.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  20. 20.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes 85 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  22. 22.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  23. 23.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  24. 24.Two trains, 50 m and 300 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  25. 25.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  26. 26.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  27. 27.Two trains, 70 m and 55 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?
  28. 28.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  29. 29.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  30. 30.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  31. 31.Two trains, 90 m and 50 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?
  32. 32.Two trains, 130 m and 80 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?
  33. 33.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?
  34. 34.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  35. 35.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  36. 36.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  37. 37.A boat goes 60 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 99 km upstream and come back?
  40. 40.Two trains, 230 m and 320 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?

Answer key

  1. 7
  2. 22
  3. 420
  4. 24
  5. 230
  6. 18
  7. 120
  8. 120
  9. 19
  10. 2
  11. 375
  12. 8
  13. 11
  14. 16
  15. 3
  16. 24
  17. 350
  18. 10
  19. 160
  20. 18
  21. 5
  22. 125
  23. 135
  24. 7
  25. 36
  26. 29
  27. 5
  28. 24
  29. 33
  30. 28
  31. 4
  32. 6
  33. 16
  34. 26
  35. 30
  36. 45
  37. 1
  38. 28
  39. 42
  40. 11

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