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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 119 · 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 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  2. 2.Two trains, 150 m and 150 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?
  3. 3.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  4. 4.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  5. 5.A boat goes at 15 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 96 km upstream and come back?
  6. 6.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  7. 7.Two trains, 190 m and 50 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?
  8. 8.Two trains, 150 m and 235 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?
  9. 9.Two trains, 60 m and 210 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?
  10. 10.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  11. 11.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes 20 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  14. 14.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 120 km upstream and come back?
  15. 15.A boat goes 16 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.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 60 km upstream and come back?
  17. 17.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  19. 19.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  20. 20.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  24. 24.A boat goes 70 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)?
  25. 25.A boat goes 72 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  26. 26.Two trains, 50 m and 100 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?
  27. 27.A boat goes 92 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  28. 28.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?
  29. 29.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  30. 30.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 66 km upstream and come back?
  33. 33.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  35. 35.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.Two trains, 60 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?
  37. 37.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?

Answer key

  1. 90
  2. 10
  3. 475
  4. 32
  5. 20
  6. 27
  7. 6
  8. 11
  9. 9
  10. 725
  11. 22
  12. 6
  13. 300
  14. 35
  15. 7
  16. 64
  17. 10
  18. 70
  19. 150
  20. 7
  21. 26
  22. 2
  23. 100
  24. 11
  25. 3
  26. 6
  27. 3
  28. 126
  29. 450
  30. 28
  31. 12
  32. 28
  33. 18
  34. 26
  35. 9
  36. 7
  37. 18
  38. 23
  39. 6
  40. 90

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