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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 562 · 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 7 km/h. How many hours does the boat take to go 102 km upstream and come back?
  2. 2.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  3. 3.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 52 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  6. 6.A boat goes 72 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  7. 7.Two trains, 100 m and 150 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 running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  9. 9.Two trains, 80 m and 60 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?
  10. 10.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  11. 11.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  13. 13.Two trains, 50 m and 160 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?
  14. 14.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  16. 16.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.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?
  24. 24.Two trains, 110 m and 100 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  25. 25.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  26. 26.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  27. 27.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  28. 28.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  29. 29.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  30. 30.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 27 km upstream and come back?
  31. 31.Two trains, 150 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?
  32. 32.A boat goes 60 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  34. 34.Two trains, 70 m and 70 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?
  35. 35.Two trains, 60 m and 255 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?
  36. 36.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  37. 37.A boat goes 32 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.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 33 km upstream and come back?
  39. 39.Two trains, 200 m and 120 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?
  40. 40.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 40
  2. 27
  3. 9
  4. 8
  5. 27
  6. 2
  7. 5
  8. 150
  9. 7
  10. 560
  11. 10
  12. 30
  13. 6
  14. 19
  15. 270
  16. 13
  17. 16
  18. 22
  19. 23
  20. 28
  21. 16
  22. 21
  23. 18
  24. 6
  25. 255
  26. 650
  27. 375
  28. 12
  29. 27
  30. 12
  31. 12
  32. 10
  33. 29
  34. 7
  35. 9
  36. 25
  37. 13
  38. 36
  39. 8
  40. 15

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