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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 679 · 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 32 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  2. 2.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 33 km upstream and come back?
  3. 3.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  4. 4.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  5. 5.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes at 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  7. 7.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  8. 8.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  9. 9.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 57 km upstream and come back?
  10. 10.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?
  11. 11.Two trains, 70 m and 105 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?
  12. 12.A boat goes 115 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  13. 13.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  16. 16.Two trains, 110 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?
  17. 17.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?
  18. 18.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  19. 19.A boat goes 52 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  21. 21.A boat goes 48 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.Two trains, 100 m and 230 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?
  23. 23.A boat goes 48 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A boat goes 28 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  25. 25.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  26. 26.Two trains, 170 m and 230 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?
  27. 27.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  29. 29.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  31. 31.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.Two trains, 70 m and 380 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?
  33. 33.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  34. 34.Two trains, 140 m and 140 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?
  35. 35.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  36. 36.Two trains, 180 m and 65 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?
  37. 37.Two trains, 180 m and 135 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?
  38. 38.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  39. 39.Two trains, 90 m and 110 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 60 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 4
  2. 14
  3. 20
  4. 37
  5. 21
  6. 22
  7. 24
  8. 7
  9. 22
  10. 12
  11. 5
  12. 4
  13. 13
  14. 30
  15. 30
  16. 9
  17. 68
  18. 29
  19. 8
  20. 31
  21. 14
  22. 11
  23. 8
  24. 1
  25. 180
  26. 10
  27. 28
  28. 320
  29. 11
  30. 360
  31. 11
  32. 9
  33. 35
  34. 8
  35. 12
  36. 7
  37. 9
  38. 18
  39. 8
  40. 14

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