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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 490 · 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 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  3. 3.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 28 km upstream and come back?
  4. 4.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  5. 5.Two trains, 50 m and 250 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 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  7. 7.Two trains, 60 m and 440 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?
  8. 8.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 72 km upstream and come back?
  9. 9.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  11. 11.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  12. 12.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  13. 13.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)?
  14. 14.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  15. 15.A boat goes 45 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 24 km upstream and come back?
  17. 17.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  18. 18.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  19. 19.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.Two trains, 140 m and 160 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?
  21. 21.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  23. 23.Two trains, 230 m and 155 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?
  24. 24.Two trains, 120 m and 150 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?
  25. 25.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 20 km upstream and come back?
  26. 26.Two trains, 210 m and 70 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?
  27. 27.A boat goes 39 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  28. 28.Two trains, 100 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?
  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 104 km upstream and come back?
  30. 30.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  31. 31.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.Two trains, 160 m and 85 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?
  33. 33.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  34. 34.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  35. 35.A boat goes 95 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A boat goes 51 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  37. 37.A boat goes at 18 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 90 km upstream and come back?
  38. 38.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes 65 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)?
  40. 40.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?

Answer key

  1. 14
  2. 32
  3. 16
  4. 240
  5. 6
  6. 34
  7. 10
  8. 80
  9. 17
  10. 165
  11. 19
  12. 23
  13. 5
  14. 200
  15. 6
  16. 3
  17. 16
  18. 29
  19. 21
  20. 6
  21. 7
  22. 375
  23. 11
  24. 9
  25. 11
  26. 8
  27. 5
  28. 8
  29. 39
  30. 290
  31. 28
  32. 7
  33. 31
  34. 195
  35. 15
  36. 5
  37. 18
  38. 11
  39. 9
  40. 27

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