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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 322 · 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 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  2. 2.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 24 km upstream and come back?
  3. 3.Two trains, 70 m and 210 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?
  4. 4.Two trains, 190 m and 170 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  5. 5.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 96 km upstream and come back?
  6. 6.Two trains, 50 m and 50 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?
  7. 7.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 104 km upstream and come back?
  8. 8.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  9. 9.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  10. 10.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)?
  11. 11.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.Two trains, 100 m and 305 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  13. 13.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  14. 14.Two trains, 50 m and 230 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?
  15. 15.A boat goes 60 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.Two trains, 110 m and 50 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?
  17. 17.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 108 km upstream and come back?
  18. 18.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 34 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 51 km upstream and come back?
  21. 21.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  22. 22.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  24. 24.Two trains, 100 m and 450 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?
  25. 25.Two trains, 210 m and 175 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?
  26. 26.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  27. 27.A boat goes at 15 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 96 km upstream and come back?
  28. 28.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  29. 29.A boat goes at 17 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 32 km upstream and come back?
  30. 30.A boat goes 42 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  31. 31.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  32. 32.A boat goes 60 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  33. 33.Two trains, 50 m and 370 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?
  34. 34.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  35. 35.Two trains, 240 m and 110 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?
  36. 36.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  37. 37.Two trains, 140 m and 70 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?
  38. 38.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  39. 39.A boat goes at 17 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 66 km upstream and come back?
  40. 40.Two trains, 110 m and 70 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?

Answer key

  1. 125
  2. 9
  3. 7
  4. 9
  5. 10
  6. 4
  7. 39
  8. 27
  9. 21
  10. 19
  11. 7
  12. 9
  13. 700
  14. 8
  15. 15
  16. 4
  17. 120
  18. 20
  19. 4
  20. 20
  21. 190
  22. 7
  23. 520
  24. 11
  25. 11
  26. 290
  27. 20
  28. 240
  29. 17
  30. 5
  31. 460
  32. 1
  33. 12
  34. 29
  35. 10
  36. 2
  37. 6
  38. 12
  39. 68
  40. 6

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