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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 749 · 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 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  2. 2.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  4. 4.A boat goes 42 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  7. 7.Two trains, 90 m and 120 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?
  8. 8.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  9. 9.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 33 km upstream and come back?
  11. 11.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  12. 12.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  13. 13.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  14. 14.A boat goes 40 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  15. 15.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  17. 17.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  18. 18.A boat goes at 20 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 35 km upstream and come back?
  19. 19.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  20. 20.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  21. 21.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes 110 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 45 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  26. 26.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  27. 27.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  28. 28.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  29. 29.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  31. 31.A boat goes 33 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 20 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 64 km upstream and come back?
  34. 34.A boat goes 95 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  36. 36.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  37. 37.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)?
  38. 38.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes 60 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)?
  40. 40.Two trains, 60 m and 140 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?

Answer key

  1. 480
  2. 16
  3. 35
  4. 13
  5. 27
  6. 575
  7. 6
  8. 120
  9. 21
  10. 36
  11. 26
  12. 90
  13. 580
  14. 5
  15. 26
  16. 240
  17. 17
  18. 8
  19. 32
  20. 33
  21. 8
  22. 2
  23. 9
  24. 10
  25. 43
  26. 195
  27. 32
  28. 25
  29. 23
  30. 220
  31. 8
  32. 25
  33. 10
  34. 3
  35. 30
  36. 15
  37. 5
  38. 11
  39. 11
  40. 5

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