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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 787 · 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 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  2. 2.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  3. 3.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 8 km upstream and come back?
  4. 4.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  5. 5.Two trains, 190 m and 260 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?
  6. 6.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  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 boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A boat goes 20 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  11. 11.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  12. 12.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  13. 13.A boat goes 66 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.Two trains, 50 m and 70 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?
  15. 15.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  16. 16.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  18. 18.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  19. 19.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  20. 20.Two trains, 110 m and 70 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  21. 21.A boat goes 39 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  22. 22.Two trains, 60 m and 60 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?
  23. 23.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  24. 24.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  25. 25.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  27. 27.A boat goes at 19 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 68 km upstream and come back?
  28. 28.A boat goes at 18 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 105 km upstream and come back?
  29. 29.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.Two trains, 100 m and 140 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?
  31. 31.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  32. 32.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  33. 33.A boat goes 44 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  35. 35.Two trains, 70 m and 80 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?
  36. 36.A boat goes 45 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 48 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  40. 40.A boat goes 75 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 31
  2. 480
  3. 5
  4. 11
  5. 9
  6. 29
  7. 120
  8. 9
  9. 4
  10. 13
  11. 38
  12. 20
  13. 18
  14. 6
  15. 150
  16. 9
  17. 27
  18. 33
  19. 22
  20. 4
  21. 2
  22. 6
  23. 43
  24. 110
  25. 26
  26. 25
  27. 19
  28. 12
  29. 10
  30. 8
  31. 31
  32. 360
  33. 17
  34. 250
  35. 5
  36. 7
  37. 11
  38. 20
  39. 36
  40. 5

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