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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 426 · 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.Two trains, 140 m and 140 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?
  2. 2.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  3. 3.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  4. 4.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  5. 5.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  6. 6.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  8. 8.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 36 km upstream and come back?
  10. 10.Two trains, 200 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?
  11. 11.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  12. 12.A boat goes 60 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  13. 13.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 50 m and 195 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?
  15. 15.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  16. 16.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  17. 17.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  18. 18.Two trains, 170 m and 330 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?
  19. 19.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  21. 21.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  22. 22.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 117 km upstream and come back?
  24. 24.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 60 km upstream and come back?
  25. 25.A boat goes 22 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  26. 26.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?
  27. 27.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  28. 28.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  29. 29.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  30. 30.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  31. 31.A boat goes at 20 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 84 km upstream and come back?
  32. 32.A boat goes 28 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  35. 35.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes 45 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  37. 37.A boat goes at 17 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 93 km upstream and come back?
  38. 38.A boat goes 50 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes at 15 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 112 km upstream and come back?

Answer key

  1. 8
  2. 575
  3. 37
  4. 25
  5. 26
  6. 7
  7. 100
  8. 24
  9. 12
  10. 10
  11. 28
  12. 5
  13. 18
  14. 7
  15. 26
  16. 22
  17. 200
  18. 10
  19. 5
  20. 38
  21. 195
  22. 12
  23. 126
  24. 16
  25. 2
  26. 7
  27. 32
  28. 27
  29. 330
  30. 475
  31. 10
  32. 13
  33. 9
  34. 460
  35. 7
  36. 5
  37. 34
  38. 1
  39. 8
  40. 15

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