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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 365 · 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, 140 m and 110 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?
  2. 2.Two trains, 50 m and 190 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?
  3. 3.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 60 km upstream and come back?
  4. 4.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  5. 5.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  6. 6.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 120 km upstream and come back?
  7. 7.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  8. 8.Two trains, 210 m and 60 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?
  9. 9.A boat goes 22 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.A train 475 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 38 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes 48 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A boat goes 57 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  14. 14.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  15. 15.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  16. 16.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  18. 18.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  19. 19.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 88 km upstream and come back?
  20. 20.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  21. 21.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  22. 22.A boat goes 32 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  23. 23.Two trains, 150 m and 90 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?
  24. 24.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  25. 25.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  26. 26.Two trains, 100 m and 145 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?
  27. 27.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  28. 28.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)?
  29. 29.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  30. 30.Two trains, 240 m and 160 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?
  31. 31.A boat goes at 15 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 52 km upstream and come back?
  32. 32.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.Two trains, 130 m and 80 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  34. 34.A boat goes 48 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.Two trains, 80 m and 130 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 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  38. 38.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?

Answer key

  1. 10
  2. 12
  3. 11
  4. 30
  5. 460
  6. 32
  7. 180
  8. 6
  9. 3
  10. 28
  11. 3
  12. 9
  13. 3
  14. 240
  15. 26
  16. 28
  17. 26
  18. 30
  19. 96
  20. 110
  21. 26
  22. 2
  23. 12
  24. 37
  25. 38
  26. 7
  27. 29
  28. 2
  29. 250
  30. 10
  31. 15
  32. 6
  33. 7
  34. 11
  35. 6
  36. 3
  37. 29
  38. 17
  39. 8
  40. 25

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