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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 148 · 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 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  2. 2.A boat goes 42 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  5. 5.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  6. 6.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  7. 7.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  8. 8.A boat goes 72 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  9. 9.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 68 km upstream and come back?
  10. 10.Two trains, 250 m and 230 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?
  11. 11.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  12. 12.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  13. 13.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  14. 14.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 190 m and 110 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?
  16. 16.A boat goes at 12 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 119 km upstream and come back?
  17. 17.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  18. 18.A boat goes 45 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  20. 20.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  21. 21.Two trains, 250 m and 135 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?
  22. 22.Two trains, 100 m and 100 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?
  23. 23.Two trains, 50 m and 195 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?
  24. 24.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 24 km upstream and come back?
  25. 25.Two trains, 80 m and 145 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?
  26. 26.Two trains, 50 m and 250 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?
  27. 27.A boat goes 40 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  31. 31.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  32. 32.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.Two trains, 60 m and 100 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?
  34. 34.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  35. 35.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 36 km upstream and come back?
  36. 36.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  37. 37.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  38. 38.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  40. 40.A boat goes 54 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 240
  2. 16
  3. 24
  4. 28
  5. 12
  6. 28
  7. 195
  8. 2
  9. 72
  10. 12
  11. 150
  12. 560
  13. 675
  14. 20
  15. 10
  16. 24
  17. 225
  18. 12
  19. 210
  20. 30
  21. 11
  22. 8
  23. 7
  24. 9
  25. 9
  26. 6
  27. 1
  28. 21
  29. 14
  30. 230
  31. 38
  32. 11
  33. 8
  34. 34
  35. 11
  36. 725
  37. 375
  38. 26
  39. 24
  40. 1

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