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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 652 · 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 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  2. 2.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes 46 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 36 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  6. 6.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  7. 7.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  8. 8.Two trains, 90 m and 110 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  9. 9.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  10. 10.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  11. 11.Two trains, 210 m and 190 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?
  12. 12.Two trains, 180 m and 150 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?
  13. 13.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  14. 14.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  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 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 56 km upstream and come back?
  17. 17.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  18. 18.A boat goes 42 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  19. 19.Two trains, 140 m and 340 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?
  20. 20.Two trains, 190 m and 230 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?
  21. 21.A boat goes 56 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  23. 23.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  24. 24.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  25. 25.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  26. 26.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 50 m and 250 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  28. 28.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  29. 29.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 88 km upstream and come back?
  30. 30.Two trains, 220 m and 80 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  31. 31.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  32. 32.Two trains, 140 m and 110 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  33. 33.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  34. 34.A boat goes 88 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  35. 35.A boat goes 51 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  36. 36.Two trains, 110 m and 70 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?
  37. 37.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  38. 38.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  39. 39.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  40. 40.A boat goes 54 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 31
  2. 18
  3. 20
  4. 17
  5. 1
  6. 420
  7. 22
  8. 8
  9. 540
  10. 38
  11. 8
  12. 11
  13. 28
  14. 190
  15. 2
  16. 18
  17. 240
  18. 4
  19. 12
  20. 12
  21. 11
  22. 27
  23. 300
  24. 25
  25. 210
  26. 16
  27. 10
  28. 1
  29. 33
  30. 12
  31. 7
  32. 10
  33. 405
  34. 2
  35. 3
  36. 6
  37. 38
  38. 560
  39. 300
  40. 14

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