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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 502 · 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 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 46 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  3. 3.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  4. 4.Two trains, 170 m and 105 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  5. 5.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.Two trains, 90 m and 310 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 train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  9. 9.A boat goes at 20 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?
  10. 10.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  11. 11.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.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)?
  13. 13.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 210 m and 105 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?
  15. 15.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  18. 18.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  19. 19.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  20. 20.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 50 m and 170 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.Two trains, 50 m and 265 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?
  24. 24.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 99 km upstream and come back?
  25. 25.A boat goes at 18 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 35 km upstream and come back?
  26. 26.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  27. 27.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  28. 28.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  29. 29.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  31. 31.A boat goes 14 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  33. 33.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  34. 34.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?
  35. 35.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  36. 36.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  37. 37.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 84 km upstream and come back?
  38. 38.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  40. 40.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?

Answer key

  1. 24
  2. 5
  3. 35
  4. 11
  5. 13
  6. 23
  7. 8
  8. 32
  9. 8
  10. 280
  11. 20
  12. 2
  13. 6
  14. 9
  15. 11
  16. 25
  17. 30
  18. 575
  19. 10
  20. 13
  21. 21
  22. 11
  23. 9
  24. 110
  25. 36
  26. 105
  27. 23
  28. 180
  29. 7
  30. 17
  31. 6
  32. 340
  33. 26
  34. 48
  35. 300
  36. 28
  37. 28
  38. 10
  39. 21
  40. 18

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