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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 555 · 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 at 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 60 km upstream and come back?
  2. 2.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  3. 3.Two trains, 60 m and 255 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  4. 4.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  5. 5.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  7. 7.Two trains, 90 m and 390 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?
  8. 8.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 72 km upstream and come back?
  9. 9.Two trains, 200 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?
  10. 10.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  11. 11.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.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 99 km upstream and come back?
  13. 13.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)?
  14. 14.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  15. 15.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  16. 16.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  18. 18.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  19. 19.A boat goes 65 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  20. 20.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  21. 21.Two trains, 70 m and 170 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?
  22. 22.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  23. 23.A boat goes 16 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 100 km upstream and come back?
  25. 25.A boat goes 28 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  26. 26.Two trains, 70 m and 210 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?
  27. 27.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  28. 28.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  29. 29.A boat goes 85 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  30. 30.A boat goes 76 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
  32. 32.A boat goes 16 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A boat goes 60 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes 26 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  36. 36.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  37. 37.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  38. 38.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  39. 39.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?

Answer key

  1. 11
  2. 23
  3. 9
  4. 29
  5. 22
  6. 15
  7. 12
  8. 27
  9. 9
  10. 525
  11. 7
  12. 108
  13. 20
  14. 260
  15. 405
  16. 7
  17. 23
  18. 16
  19. 1
  20. 400
  21. 8
  22. 240
  23. 7
  24. 60
  25. 1
  26. 8
  27. 24
  28. 16
  29. 5
  30. 17
  31. 9
  32. 6
  33. 3
  34. 3
  35. 28
  36. 16
  37. 75
  38. 21
  39. 9
  40. 29

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