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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 888 · 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 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  2. 2.Two trains, 130 m and 185 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?
  3. 3.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?
  4. 4.Two trains, 160 m and 140 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?
  5. 5.A boat goes 64 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  6. 6.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  7. 7.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  8. 8.Two trains, 100 m and 110 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?
  9. 9.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  10. 10.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  11. 11.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  12. 12.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  13. 13.A boat goes 95 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A boat goes 56 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  15. 15.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 90 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A boat goes 26 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.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 84 km upstream and come back?
  19. 19.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  20. 20.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  21. 21.Two trains, 130 m and 320 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  22. 22.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 48 km upstream and come back?
  23. 23.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  25. 25.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 130 m and 190 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?
  29. 29.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  30. 30.A boat goes 54 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  32. 32.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 70 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes 76 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  35. 35.A boat goes 76 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  36. 36.A boat goes 75 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)?
  37. 37.Two trains, 120 m and 240 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?
  38. 38.Two trains, 210 m and 105 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?
  39. 39.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  40. 40.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 80
  2. 9
  3. 24
  4. 6
  5. 2
  6. 330
  7. 140
  8. 6
  9. 170
  10. 18
  11. 43
  12. 525
  13. 14
  14. 5
  15. 6
  16. 17
  17. 5
  18. 40
  19. 15
  20. 28
  21. 10
  22. 20
  23. 14
  24. 19
  25. 21
  26. 26
  27. 22
  28. 8
  29. 24
  30. 13
  31. 110
  32. 30
  33. 1
  34. 1
  35. 2
  36. 10
  37. 12
  38. 9
  39. 25
  40. 9

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