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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 249 · 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 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  2. 2.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  5. 5.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.Two trains, 60 m and 300 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?
  7. 7.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  8. 8.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 100 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  11. 11.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  12. 12.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 72 km upstream and come back?
  13. 13.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  14. 14.Two trains, 110 m and 240 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?
  15. 15.Two trains, 100 m and 220 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?
  16. 16.Two trains, 50 m and 250 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?
  17. 17.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  18. 18.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  19. 19.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  21. 21.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  22. 22.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  23. 23.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  24. 24.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  25. 25.Two trains, 140 m and 70 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?
  26. 26.Two trains, 110 m and 290 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?
  27. 27.A boat goes at 19 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 105 km upstream and come back?
  28. 28.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 117 km upstream and come back?
  29. 29.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 72 km upstream and come back?
  33. 33.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  34. 34.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  35. 35.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  36. 36.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  37. 37.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 100 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 52 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)?

Answer key

  1. 90
  2. 7
  3. 26
  4. 12
  5. 22
  6. 12
  7. 27
  8. 13
  9. 17
  10. 225
  11. 70
  12. 21
  13. 175
  14. 10
  15. 8
  16. 10
  17. 15
  18. 42
  19. 23
  20. 240
  21. 39
  22. 30
  23. 675
  24. 50
  25. 7
  26. 10
  27. 38
  28. 48
  29. 15
  30. 7
  31. 6
  32. 80
  33. 20
  34. 195
  35. 38
  36. 300
  37. 17
  38. 15
  39. 16
  40. 10

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