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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 767 · 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 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?
  2. 2.Two trains, 230 m and 85 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?
  3. 3.A boat goes at 20 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 48 km upstream and come back?
  4. 4.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  5. 5.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.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?
  8. 8.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  9. 9.A boat goes 40 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  11. 11.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  12. 12.Two trains, 150 m and 120 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?
  13. 13.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  14. 14.A boat goes 42 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  16. 16.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  18. 18.Two trains, 110 m and 70 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?
  19. 19.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  20. 20.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  22. 22.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  23. 23.Two trains, 90 m and 150 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?
  24. 24.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?
  25. 25.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  26. 26.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 70 m and 130 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?
  28. 28.A boat goes 40 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A boat goes 36 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  31. 31.Two trains, 130 m and 255 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  32. 32.Two trains, 130 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?
  33. 33.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  34. 34.A boat goes at 20 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 111 km upstream and come back?
  35. 35.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  37. 37.A boat goes 45 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  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 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  40. 40.Two trains, 130 m and 220 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?

Answer key

  1. 28
  2. 9
  3. 5
  4. 26
  5. 17
  6. 23
  7. 14
  8. 32
  9. 2
  10. 300
  11. 130
  12. 9
  13. 250
  14. 9
  15. 24
  16. 30
  17. 120
  18. 6
  19. 13
  20. 15
  21. 135
  22. 225
  23. 8
  24. 20
  25. 1
  26. 5
  27. 8
  28. 7
  29. 8
  30. 435
  31. 11
  32. 10
  33. 15
  34. 40
  35. 9
  36. 29
  37. 3
  38. 14
  39. 160
  40. 10

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