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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 129 · 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 125 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?
  2. 2.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  3. 3.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  4. 4.Two trains, 190 m and 290 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?
  5. 5.Two trains, 150 m and 120 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?
  6. 6.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  7. 7.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes 57 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 96 km upstream and come back?
  10. 10.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  11. 11.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 12 km upstream and come back?
  12. 12.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 190 m and 305 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?
  15. 15.A boat goes 64 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A boat goes 50 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  17. 17.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  18. 18.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.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?
  20. 20.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  21. 21.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  22. 22.Two trains, 80 m and 80 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 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  25. 25.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  26. 26.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  27. 27.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  28. 28.A boat goes at 16 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 87 km upstream and come back?
  29. 29.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes 56 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  31. 31.A boat goes 40 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  32. 32.Two trains, 130 m and 410 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?
  33. 33.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  34. 34.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 105 km upstream and come back?
  35. 35.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  36. 36.Two trains, 90 m and 85 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?
  37. 37.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  38. 38.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes 75 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  40. 40.A boat goes 22 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 9
  2. 345
  3. 135
  4. 12
  5. 9
  6. 38
  7. 5
  8. 15
  9. 28
  10. 20
  11. 3
  12. 22
  13. 10
  14. 11
  15. 15
  16. 3
  17. 220
  18. 14
  19. 32
  20. 110
  21. 400
  22. 8
  23. 29
  24. 28
  25. 180
  26. 35
  27. 36
  28. 32
  29. 19
  30. 4
  31. 2
  32. 12
  33. 26
  34. 42
  35. 26
  36. 5
  37. 700
  38. 9
  39. 2
  40. 7

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