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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 825 · 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 boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  3. 3.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  4. 4.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)?
  5. 5.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  6. 6.A boat goes 75 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)?
  7. 7.A boat goes at 18 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 68 km upstream and come back?
  8. 8.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  9. 9.A boat goes at 18 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 105 km upstream and come back?
  10. 10.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 63 km upstream and come back?
  11. 11.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  12. 12.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  14. 14.Two trains, 250 m and 110 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?
  15. 15.Two trains, 120 m and 160 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?
  16. 16.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  17. 17.Two trains, 140 m and 70 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?
  18. 18.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 27 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  20. 20.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  21. 21.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  24. 24.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  25. 25.A boat goes 22 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  26. 26.Two trains, 180 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?
  27. 27.Two trains, 170 m and 70 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?
  28. 28.A boat goes at 19 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 111 km upstream and come back?
  29. 29.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  30. 30.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  35. 35.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  36. 36.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  37. 37.A boat goes 90 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 100 m and 440 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?
  40. 40.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 1
  2. 30
  3. 120
  4. 19
  5. 650
  6. 12
  7. 36
  8. 120
  9. 12
  10. 30
  11. 150
  12. 23
  13. 60
  14. 12
  15. 8
  16. 140
  17. 6
  18. 23
  19. 3
  20. 22
  21. 20
  22. 8
  23. 75
  24. 400
  25. 4
  26. 12
  27. 12
  28. 114
  29. 33
  30. 5
  31. 14
  32. 22
  33. 9
  34. 200
  35. 18
  36. 27
  37. 16
  38. 13
  39. 12
  40. 21

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