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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 407 · 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 24 seconds. How long is the train (in metres)?
  2. 2.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  3. 3.Two trains, 100 m and 285 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?
  4. 4.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.Two trains, 200 m and 200 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  6. 6.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  7. 7.Two trains, 120 m and 420 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?
  8. 8.A boat goes at 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  9. 9.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  10. 10.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  12. 12.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 25 km upstream and come back?
  13. 13.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  14. 14.Two trains, 240 m and 120 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, 150 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?
  16. 16.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  17. 17.A boat goes at 18 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 81 km upstream and come back?
  18. 18.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  19. 19.A boat goes 54 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  20. 20.A boat goes 32 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  21. 21.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  23. 23.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 112 km upstream and come back?
  25. 25.Two trains, 210 m and 210 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?
  26. 26.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 8 km upstream and come back?
  27. 27.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 90 km upstream and come back?
  28. 28.A boat goes at 19 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 105 km upstream and come back?
  29. 29.Two trains, 90 m and 120 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?
  30. 30.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 54 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  33. 33.A boat goes 95 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  35. 35.A boat goes 35 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  36. 36.Two trains, 60 m and 140 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 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  38. 38.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  40. 40.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?

Answer key

  1. 240
  2. 90
  3. 11
  4. 16
  5. 8
  6. 29
  7. 12
  8. 24
  9. 170
  10. 9
  11. 16
  12. 26
  13. 140
  14. 12
  15. 12
  16. 31
  17. 12
  18. 600
  19. 5
  20. 2
  21. 15
  22. 110
  23. 18
  24. 22
  25. 12
  26. 5
  27. 20
  28. 38
  29. 7
  30. 7
  31. 13
  32. 24
  33. 1
  34. 22
  35. 1
  36. 10
  37. 34
  38. 14
  39. 180
  40. 40

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