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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 530 · 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 boat goes 50 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  3. 3.A boat goes 24 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  4. 4.Two trains, 50 m and 335 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?
  5. 5.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  6. 6.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  7. 7.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  8. 8.Two trains, 140 m and 280 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?
  9. 9.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  10. 10.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 80 m and 360 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?
  12. 12.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  13. 13.A boat goes 42 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  15. 15.Two trains, 210 m and 190 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?
  16. 16.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  17. 17.A boat goes 84 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.Two trains, 90 m and 85 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?
  19. 19.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  20. 20.A boat goes 92 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  21. 21.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  22. 22.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  23. 23.A boat goes 57 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 88 km upstream and come back?
  25. 25.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  26. 26.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 63 km upstream and come back?
  28. 28.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  29. 29.Two trains, 230 m and 210 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.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  31. 31.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  32. 32.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  33. 33.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  34. 34.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  35. 35.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  36. 36.Two trains, 140 m and 100 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?
  37. 37.Two trains, 60 m and 80 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?
  38. 38.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?
  39. 39.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  40. 40.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?

Answer key

  1. 5
  2. 29
  3. 2
  4. 11
  5. 125
  6. 26
  7. 10
  8. 12
  9. 300
  10. 24
  11. 11
  12. 100
  13. 17
  14. 150
  15. 10
  16. 29
  17. 16
  18. 5
  19. 30
  20. 5
  21. 480
  22. 24
  23. 17
  24. 55
  25. 21
  26. 8
  27. 12
  28. 9
  29. 11
  30. 29
  31. 13
  32. 250
  33. 130
  34. 425
  35. 30
  36. 6
  37. 7
  38. 18
  39. 580
  40. 28

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