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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 68 · 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.Two trains, 230 m and 130 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?
  2. 2.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  3. 3.Two trains, 110 m and 100 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?
  4. 4.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  5. 5.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 36 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A boat goes 65 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A boat goes 36 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  9. 9.A boat goes 34 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  11. 11.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 99 km upstream and come back?
  12. 12.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 8 km upstream and come back?
  16. 16.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  18. 18.Two trains, 100 m and 140 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?
  19. 19.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes 33 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  21. 21.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  22. 22.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes 40 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes at 20 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 96 km upstream and come back?
  25. 25.Two trains, 60 m and 190 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?
  26. 26.Two trains, 90 m and 120 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?
  27. 27.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  28. 28.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  29. 29.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.Two trains, 250 m and 80 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?
  31. 31.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  32. 32.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  33. 33.A boat goes at 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  34. 34.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  35. 35.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  36. 36.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  37. 37.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  38. 38.A boat goes 36 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  39. 39.Two trains, 70 m and 250 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?
  40. 40.A boat goes 35 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 9
  2. 17
  3. 7
  4. 28
  5. 27
  6. 15
  7. 8
  8. 1
  9. 13
  10. 27
  11. 110
  12. 19
  13. 23
  14. 22
  15. 5
  16. 10
  17. 120
  18. 6
  19. 30
  20. 1
  21. 120
  22. 17
  23. 1
  24. 15
  25. 10
  26. 6
  27. 32
  28. 25
  29. 6
  30. 11
  31. 160
  32. 40
  33. 24
  34. 26
  35. 500
  36. 20
  37. 22
  38. 4
  39. 8
  40. 6

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