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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 602 · 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 5 seconds. How long is the train (in metres)?
  2. 2.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?
  3. 3.Two trains, 70 m and 245 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?
  4. 4.A boat goes 38 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.Two trains, 160 m and 160 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?
  6. 6.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  8. 8.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  9. 9.A boat goes 26 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.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?
  11. 11.A boat goes 30 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes 115 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  14. 14.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  15. 15.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  16. 16.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  17. 17.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 60 km upstream and come back?
  18. 18.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  20. 20.Two trains, 230 m and 210 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?
  21. 21.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes 72 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A boat goes 39 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.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?
  26. 26.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  27. 27.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  28. 28.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 130 m and 115 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?
  30. 30.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  31. 31.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  32. 32.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  33. 33.Two trains, 150 m and 60 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?
  34. 34.Two trains, 90 m and 315 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 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  36. 36.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  37. 37.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  38. 38.Two trains, 240 m and 210 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?
  39. 39.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 50
  2. 10
  3. 9
  4. 17
  5. 8
  6. 27
  7. 31
  8. 5
  9. 2
  10. 15
  11. 9
  12. 17
  13. 3
  14. 120
  15. 31
  16. 22
  17. 20
  18. 17
  19. 200
  20. 11
  21. 24
  22. 17
  23. 12
  24. 25
  25. 48
  26. 255
  27. 31
  28. 28
  29. 7
  30. 525
  31. 500
  32. 28
  33. 7
  34. 9
  35. 26
  36. 35
  37. 36
  38. 10
  39. 25
  40. 30

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