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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 172 · 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 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  2. 2.Two trains, 50 m and 370 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?
  3. 3.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  4. 4.Two trains, 50 m and 170 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?
  5. 5.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  6. 6.A train 750 m long runs at 90 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 12 seconds. How long is the train (in metres)?
  8. 8.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  10. 10.A boat goes 54 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes 69 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  13. 13.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  14. 14.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  15. 15.A boat goes 60 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  16. 16.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?
  17. 17.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  18. 18.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  19. 19.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  21. 21.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  25. 25.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  26. 26.A boat goes 26 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 70 m and 170 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?
  30. 30.Two trains, 80 m and 120 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?
  31. 31.Two trains, 60 m and 115 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?
  32. 32.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.Two trains, 120 m and 55 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  34. 34.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 60 m and 240 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  36. 36.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  37. 37.A boat goes 95 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A boat goes at 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  39. 39.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 108 km upstream and come back?
  40. 40.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?

Answer key

  1. 34
  2. 12
  3. 12
  4. 11
  5. 29
  6. 30
  7. 120
  8. 10
  9. 250
  10. 17
  11. 16
  12. 4
  13. 26
  14. 23
  15. 2
  16. 12
  17. 50
  18. 19
  19. 16
  20. 540
  21. 23
  22. 9
  23. 25
  24. 23
  25. 475
  26. 4
  27. 13
  28. 12
  29. 6
  30. 10
  31. 5
  32. 30
  33. 7
  34. 19
  35. 12
  36. 260
  37. 18
  38. 26
  39. 33
  40. 22

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