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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 389 · 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 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  2. 2.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  3. 3.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  4. 4.A boat goes 34 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.Two trains, 80 m and 170 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?
  6. 6.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  8. 8.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  9. 9.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  11. 11.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  12. 12.A boat goes at 5 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?
  13. 13.Two trains, 150 m and 165 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?
  14. 14.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  16. 16.Two trains, 90 m and 90 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?
  17. 17.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  19. 19.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  20. 20.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  23. 23.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  24. 24.A boat goes 28 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  25. 25.A boat goes at 18 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 81 km upstream and come back?
  26. 26.A boat goes 63 km downstream in 3 hours and 57 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  27. 27.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  28. 28.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  29. 29.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  30. 30.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  31. 31.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes 46 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  34. 34.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  37. 37.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  38. 38.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  39. 39.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 87 km upstream and come back?
  40. 40.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?

Answer key

  1. 20
  2. 30
  3. 33
  4. 14
  5. 10
  6. 28
  7. 21
  8. 120
  9. 8
  10. 270
  11. 42
  12. 35
  13. 7
  14. 22
  15. 19
  16. 9
  17. 29
  18. 290
  19. 725
  20. 10
  21. 17
  22. 37
  23. 35
  24. 3
  25. 12
  26. 1
  27. 450
  28. 20
  29. 150
  30. 240
  31. 23
  32. 19
  33. 33
  34. 29
  35. 9
  36. 32
  37. 29
  38. 170
  39. 90
  40. 34

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