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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 265 · 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 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  2. 2.A boat goes 42 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.Two trains, 140 m and 220 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?
  4. 4.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  5. 5.A boat goes 28 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  6. 6.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 24 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)?
  8. 8.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  9. 9.Two trains, 80 m and 160 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?
  10. 10.A boat goes 88 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  11. 11.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  13. 13.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?
  14. 14.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  16. 16.Two trains, 60 m and 290 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?
  17. 17.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  18. 18.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  19. 19.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 55 km upstream and come back?
  20. 20.A boat goes 95 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  21. 21.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 42 km upstream and come back?
  22. 22.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  23. 23.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  24. 24.A boat goes 44 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  26. 26.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  27. 27.A boat goes 38 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  29. 29.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?
  30. 30.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  32. 32.A boat goes 48 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  33. 33.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?
  34. 34.Two trains, 50 m and 110 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?
  35. 35.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 108 km upstream and come back?
  36. 36.A boat goes 60 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  37. 37.A boat goes 90 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 300
  2. 17
  3. 9
  4. 26
  5. 4
  6. 13
  7. 8
  8. 130
  9. 6
  10. 2
  11. 22
  12. 28
  13. 9
  14. 7
  15. 30
  16. 10
  17. 20
  18. 440
  19. 16
  20. 3
  21. 44
  22. 42
  23. 37
  24. 19
  25. 17
  26. 35
  27. 5
  28. 41
  29. 22
  30. 19
  31. 170
  32. 4
  33. 28
  34. 4
  35. 24
  36. 1
  37. 3
  38. 6
  39. 8
  40. 8

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