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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 785 · 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 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  2. 2.Two trains, 210 m and 230 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?
  3. 3.A boat goes 39 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  5. 5.A boat goes 88 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  6. 6.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  7. 7.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  8. 8.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  9. 9.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 80 m and 320 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  12. 12.Two trains, 80 m and 100 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?
  13. 13.A boat goes 45 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  15. 15.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  16. 16.Two trains, 50 m and 75 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?
  17. 17.A boat goes at 15 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 72 km upstream and come back?
  18. 18.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  19. 19.Two trains, 80 m and 160 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?
  20. 20.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  21. 21.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  22. 22.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 26 km upstream and come back?
  23. 23.A boat goes 56 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  26. 26.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 60 m and 360 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  28. 28.Two trains, 60 m and 300 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?
  29. 29.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.Two trains, 100 m and 140 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?
  33. 33.A boat goes 75 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes at 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  36. 36.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 92 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A boat goes 76 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?

Answer key

  1. 35
  2. 11
  3. 11
  4. 19
  5. 2
  6. 300
  7. 230
  8. 27
  9. 12
  10. 22
  11. 10
  12. 4
  13. 6
  14. 520
  15. 100
  16. 5
  17. 10
  18. 41
  19. 12
  20. 14
  21. 27
  22. 28
  23. 9
  24. 26
  25. 25
  26. 6
  27. 12
  28. 12
  29. 7
  30. 10
  31. 26
  32. 12
  33. 5
  34. 6
  35. 26
  36. 18
  37. 18
  38. 3
  39. 17
  40. 725

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