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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 340 · 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 100 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A boat goes at 16 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 24 km upstream and come back?
  3. 3.Two trains, 50 m and 230 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?
  4. 4.Two trains, 90 m and 390 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?
  5. 5.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  6. 6.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  7. 7.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  8. 8.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  9. 9.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  10. 10.Two trains, 180 m and 150 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?
  11. 11.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  12. 12.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  13. 13.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  15. 15.Two trains, 90 m and 110 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?
  16. 16.Two trains, 190 m and 210 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?
  17. 17.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 56 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  20. 20.A boat goes 39 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  21. 21.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  23. 23.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  24. 24.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 120 m and 195 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?
  26. 26.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  27. 27.Two trains, 90 m and 135 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?
  28. 28.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  29. 29.Two trains, 110 m and 210 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?
  30. 30.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  31. 31.A boat goes 60 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  32. 32.Two trains, 170 m and 100 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?
  33. 33.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  34. 34.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 50 m and 220 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  36. 36.A boat goes 36 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  37. 37.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)?
  38. 38.Two trains, 230 m and 130 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?
  39. 39.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 15
  2. 4
  3. 8
  4. 12
  5. 210
  6. 24
  7. 21
  8. 700
  9. 36
  10. 11
  11. 16
  12. 37
  13. 16
  14. 230
  15. 8
  16. 10
  17. 14
  18. 8
  19. 2
  20. 1
  21. 11
  22. 23
  23. 13
  24. 6
  25. 9
  26. 150
  27. 9
  28. 20
  29. 8
  30. 25
  31. 1
  32. 9
  33. 420
  34. 5
  35. 9
  36. 1
  37. 2
  38. 12
  39. 13
  40. 23

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