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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 252 · 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 7 seconds. How long is the train (in metres)?
  2. 2.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  4. 4.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 19 km upstream and come back?
  6. 6.Two trains, 210 m and 140 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?
  7. 7.A boat goes 44 km downstream in 4 hours and 4 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  8. 8.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?
  9. 9.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 36 km upstream and come back?
  10. 10.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  12. 12.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.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 81 km upstream and come back?
  14. 14.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  15. 15.Two trains, 50 m and 150 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?
  16. 16.A boat goes 63 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  17. 17.Two trains, 120 m and 160 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  18. 18.A boat goes 72 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  20. 20.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  21. 21.A train 165 m long runs at 54 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 20 seconds. How long is the train (in metres)?
  23. 23.A boat goes 75 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes 60 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  25. 25.Two trains, 150 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?
  26. 26.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  27. 27.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 72 km upstream and come back?
  28. 28.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  29. 29.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  30. 30.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  31. 31.A boat goes 60 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 36 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes 85 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  36. 36.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  37. 37.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  38. 38.A boat goes 84 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  40. 40.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 70
  2. 5
  3. 14
  4. 23
  5. 20
  6. 10
  7. 5
  8. 36
  9. 11
  10. 12
  11. 180
  12. 30
  13. 90
  14. 29
  15. 5
  16. 2
  17. 8
  18. 19
  19. 24
  20. 28
  21. 11
  22. 200
  23. 1
  24. 2
  25. 11
  26. 725
  27. 18
  28. 35
  29. 21
  30. 24
  31. 5
  32. 14
  33. 1
  34. 12
  35. 3
  36. 500
  37. 22
  38. 16
  39. 29
  40. 20

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