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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 273 · 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, 190 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?
  2. 2.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 30 km upstream and come back?
  3. 3.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  5. 5.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  6. 6.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 80 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)?
  8. 8.Two trains, 150 m and 90 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?
  9. 9.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  10. 10.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.Two trains, 140 m and 355 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?
  14. 14.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  15. 15.Two trains, 170 m and 55 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?
  16. 16.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  17. 17.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes 60 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A boat goes at 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 66 km upstream and come back?
  20. 20.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 115 km upstream and come back?
  21. 21.Two trains, 170 m and 280 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?
  22. 22.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  23. 23.A boat goes at 17 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 66 km upstream and come back?
  24. 24.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  26. 26.Two trains, 160 m and 320 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?
  27. 27.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 95 km downstream in 5 hours and 45 km upstream in 5 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 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 119 km upstream and come back?
  31. 31.Two trains, 90 m and 85 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  32. 32.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  33. 33.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes 40 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  37. 37.A boat goes 40 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  38. 38.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  39. 39.A boat goes 50 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)?
  40. 40.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?

Answer key

  1. 8
  2. 32
  3. 6
  4. 240
  5. 30
  6. 14
  7. 13
  8. 6
  9. 300
  10. 8
  11. 14
  12. 12
  13. 11
  14. 3
  15. 5
  16. 26
  17. 24
  18. 19
  19. 24
  20. 120
  21. 10
  22. 28
  23. 68
  24. 16
  25. 580
  26. 12
  27. 29
  28. 14
  29. 195
  30. 126
  31. 5
  32. 260
  33. 22
  34. 2
  35. 24
  36. 575
  37. 3
  38. 435
  39. 9
  40. 13

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