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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 605 · 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 running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  2. 2.Two trains, 200 m and 150 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?
  3. 3.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  4. 4.Two trains, 240 m and 60 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?
  5. 5.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  8. 8.Two trains, 250 m and 190 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?
  9. 9.A boat goes 52 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  10. 10.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  11. 11.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  12. 12.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  13. 13.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes 70 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A boat goes 26 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)?
  16. 16.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes 75 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 90 m and 85 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?
  22. 22.Two trains, 140 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?
  23. 23.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  24. 24.Two trains, 80 m and 70 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?
  25. 25.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  26. 26.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  27. 27.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 85 km upstream and come back?
  28. 28.A boat goes 60 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  30. 30.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  31. 31.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  32. 32.A boat goes 36 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  33. 33.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 60 km upstream and come back?
  34. 34.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 48 km upstream and come back?
  35. 35.A boat goes at 14 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 120 km upstream and come back?
  36. 36.A boat goes 18 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  37. 37.Two trains, 60 m and 65 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?
  38. 38.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?
  39. 39.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  40. 40.Two trains, 150 m and 180 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?

Answer key

  1. 375
  2. 10
  3. 19
  4. 12
  5. 14
  6. 20
  7. 24
  8. 11
  9. 3
  10. 17
  11. 31
  12. 380
  13. 12
  14. 10
  15. 9
  16. 29
  17. 14
  18. 5
  19. 6
  20. 23
  21. 7
  22. 10
  23. 33
  24. 5
  25. 19
  26. 19
  27. 90
  28. 18
  29. 195
  30. 35
  31. 14
  32. 1
  33. 21
  34. 15
  35. 21
  36. 3
  37. 5
  38. 13
  39. 60
  40. 11

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