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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 280 · 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 270 m long?
  2. 2.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  3. 3.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  4. 4.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 84 km upstream and come back?
  5. 5.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  6. 6.A boat goes 34 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)?
  7. 7.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  9. 9.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  10. 10.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 60 m and 270 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  12. 12.A boat goes at 15 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 100 km upstream and come back?
  13. 13.A boat goes at 17 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 32 km upstream and come back?
  14. 14.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 120 km upstream and come back?
  15. 15.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 36 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  17. 17.Two trains, 250 m and 100 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  18. 18.Two trains, 50 m and 100 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?
  19. 19.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  20. 20.A boat goes 18 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  21. 21.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?
  22. 22.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  23. 23.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  24. 24.Two trains, 190 m and 160 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?
  25. 25.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  27. 27.A boat goes 51 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)?
  28. 28.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  29. 29.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  30. 30.A boat goes at 20 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 38 km upstream and come back?
  31. 31.Two trains, 130 m and 185 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?
  32. 32.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  33. 33.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  34. 34.Two trains, 80 m and 280 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?
  35. 35.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  36. 36.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  37. 37.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 230 m and 90 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  39. 39.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  40. 40.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?

Answer key

  1. 24
  2. 25
  3. 120
  4. 40
  5. 200
  6. 14
  7. 28
  8. 170
  9. 33
  10. 26
  11. 11
  12. 24
  13. 17
  14. 18
  15. 19
  16. 2
  17. 10
  18. 5
  19. 210
  20. 3
  21. 11
  22. 560
  23. 625
  24. 10
  25. 23
  26. 21
  27. 13
  28. 255
  29. 13
  30. 20
  31. 9
  32. 27
  33. 25
  34. 8
  35. 380
  36. 270
  37. 19
  38. 8
  39. 27
  40. 150

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