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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 655 · 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 70 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  2. 2.A boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  3. 3.A boat goes 51 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  4. 4.Two trains, 80 m and 160 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?
  5. 5.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  7. 7.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  8. 8.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  9. 9.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  10. 10.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?
  11. 11.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 108 km upstream and come back?
  13. 13.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  14. 14.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  15. 15.Two trains, 130 m and 110 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 running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  17. 17.A boat goes 68 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  20. 20.Two trains, 60 m and 160 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?
  21. 21.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  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 train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  25. 25.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.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)?
  27. 27.Two trains, 120 m and 90 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?
  28. 28.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  29. 29.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.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?
  31. 31.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 36 km upstream and come back?
  33. 33.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes 26 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.Two trains, 160 m and 110 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?
  36. 36.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  37. 37.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  38. 38.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  39. 39.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  40. 40.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?

Answer key

  1. 1
  2. 1
  3. 3
  4. 6
  5. 5
  6. 18
  7. 10
  8. 28
  9. 130
  10. 9
  11. 13
  12. 33
  13. 26
  14. 35
  15. 6
  16. 200
  17. 2
  18. 25
  19. 550
  20. 11
  21. 12
  22. 240
  23. 28
  24. 32
  25. 7
  26. 2
  27. 7
  28. 625
  29. 14
  30. 13
  31. 14
  32. 9
  33. 18
  34. 8
  35. 9
  36. 650
  37. 25
  38. 20
  39. 460
  40. 70

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