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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 182 · 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 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  3. 3.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  4. 4.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  5. 5.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  6. 6.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 38 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  8. 8.A boat goes at 20 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 72 km upstream and come back?
  9. 9.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  10. 10.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  12. 12.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  13. 13.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  14. 14.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 28 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 108 km upstream and come back?
  17. 17.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  19. 19.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 100 m and 150 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?
  23. 23.A boat goes at 18 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 70 km upstream and come back?
  24. 24.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  25. 25.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 27 km upstream and come back?
  27. 27.A boat goes at 16 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 120 km upstream and come back?
  28. 28.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  29. 29.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.Two trains, 80 m and 120 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?
  31. 31.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  32. 32.Two trains, 90 m and 135 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?
  33. 33.A boat goes 75 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes 38 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  37. 37.Two trains, 90 m and 70 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?
  38. 38.Two trains, 80 m and 220 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?
  39. 39.Two trains, 210 m and 65 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?
  40. 40.A boat goes 66 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 6
  2. 32
  3. 60
  4. 330
  5. 35
  6. 29
  7. 1
  8. 20
  9. 38
  10. 20
  11. 25
  12. 34
  13. 435
  14. 5
  15. 2
  16. 60
  17. 12
  18. 38
  19. 26
  20. 12
  21. 24
  22. 10
  23. 72
  24. 360
  25. 7
  26. 30
  27. 16
  28. 280
  29. 7
  30. 8
  31. 16
  32. 5
  33. 4
  34. 5
  35. 10
  36. 16
  37. 4
  38. 10
  39. 11
  40. 2

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