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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 419 · 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 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 18 km upstream and come back?
  2. 2.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 75 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  6. 6.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 63 km upstream and come back?
  7. 7.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  8. 8.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  9. 9.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  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 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 102 km upstream and come back?
  12. 12.A boat goes 45 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.Two trains, 50 m and 125 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?
  14. 14.Two trains, 120 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?
  15. 15.A boat goes 36 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)?
  16. 16.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 34 km upstream and come back?
  17. 17.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  18. 18.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  19. 19.Two trains, 50 m and 175 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?
  20. 20.A boat goes 40 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  21. 21.Two trains, 70 m and 140 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?
  22. 22.A boat goes 96 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  24. 24.Two trains, 110 m and 210 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?
  25. 25.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  26. 26.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  27. 27.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  28. 28.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 60 m and 180 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?
  30. 30.Two trains, 100 m and 200 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?
  31. 31.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  32. 32.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  33. 33.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  35. 35.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  36. 36.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  37. 37.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 50 m and 175 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  39. 39.A boat goes 60 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.Two trains, 150 m and 50 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?

Answer key

  1. 4
  2. 15
  3. 9
  4. 21
  5. 4
  6. 30
  7. 28
  8. 25
  9. 280
  10. 300
  11. 54
  12. 8
  13. 7
  14. 9
  15. 17
  16. 36
  17. 300
  18. 33
  19. 5
  20. 4
  21. 6
  22. 5
  23. 25
  24. 8
  25. 32
  26. 100
  27. 90
  28. 30
  29. 6
  30. 10
  31. 20
  32. 28
  33. 25
  34. 28
  35. 33
  36. 190
  37. 10
  38. 9
  39. 10
  40. 10

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