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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 352 · 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 36 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes 46 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)?
  4. 4.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  6. 6.Two trains, 100 m and 200 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  7. 7.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  8. 8.Two trains, 50 m and 230 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?
  9. 9.A boat goes at 6 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?
  10. 10.Two trains, 230 m and 50 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?
  11. 11.Two trains, 140 m and 85 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?
  12. 12.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 96 km upstream and come back?
  13. 13.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  14. 14.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  15. 15.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  16. 16.A boat goes 28 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  17. 17.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  18. 18.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  19. 19.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 45 km upstream and come back?
  20. 20.A boat goes at 20 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 60 km upstream and come back?
  21. 21.Two trains, 100 m and 170 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?
  22. 22.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  24. 24.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  25. 25.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  27. 27.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  28. 28.A boat goes 28 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.Two trains, 60 m and 140 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?
  31. 31.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  32. 32.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  34. 34.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  35. 35.Two trains, 160 m and 65 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  36. 36.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  38. 38.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  39. 39.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?

Answer key

  1. 3
  2. 20
  3. 18
  4. 12
  5. 435
  6. 12
  7. 43
  8. 7
  9. 16
  10. 7
  11. 5
  12. 30
  13. 3
  14. 135
  15. 625
  16. 1
  17. 13
  18. 110
  19. 48
  20. 8
  21. 6
  22. 10
  23. 125
  24. 34
  25. 17
  26. 460
  27. 27
  28. 4
  29. 11
  30. 5
  31. 200
  32. 23
  33. 230
  34. 17
  35. 5
  36. 29
  37. 26
  38. 24
  39. 8
  40. 150

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