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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 725 · 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.Two trains, 100 m and 100 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?
  2. 2.A boat goes at 13 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?
  3. 3.A boat goes 65 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A boat goes 56 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  5. 5.Two trains, 220 m and 95 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?
  6. 6.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  7. 7.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.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 88 km upstream and come back?
  9. 9.Two trains, 70 m and 380 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  10. 10.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 60 m and 215 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?
  12. 12.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  14. 14.A boat goes 44 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  16. 16.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  17. 17.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  18. 18.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  19. 19.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  20. 20.A boat goes 80 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 42 km upstream and come back?
  23. 23.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 36 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  26. 26.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  28. 28.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 130 m and 275 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  30. 30.Two trains, 130 m and 220 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?
  31. 31.A boat goes 44 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  32. 32.A boat goes 72 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  33. 33.Two trains, 160 m and 50 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?
  34. 34.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  36. 36.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  37. 37.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  38. 38.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  39. 39.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  40. 40.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?

Answer key

  1. 5
  2. 13
  3. 10
  4. 3
  5. 9
  6. 525
  7. 7
  8. 96
  9. 10
  10. 6
  11. 11
  12. 8
  13. 375
  14. 17
  15. 24
  16. 250
  17. 36
  18. 14
  19. 220
  20. 18
  21. 22
  22. 10
  23. 27
  24. 1
  25. 27
  26. 11
  27. 425
  28. 9
  29. 9
  30. 7
  31. 2
  32. 1
  33. 7
  34. 7
  35. 195
  36. 18
  37. 28
  38. 41
  39. 20
  40. 220

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