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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 514 · 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 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.Two trains, 190 m and 55 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?
  3. 3.Two trains, 90 m and 360 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?
  4. 4.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 80 km downstream in 4 hours and 40 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 25 seconds. How long is the train (in metres)?
  7. 7.Two trains, 140 m and 85 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?
  8. 8.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  9. 9.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 78 km upstream and come back?
  10. 10.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 72 km upstream and come back?
  13. 13.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 200 m and 130 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?
  15. 15.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  16. 16.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  18. 18.Two trains, 170 m and 130 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?
  19. 19.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  20. 20.Two trains, 50 m and 220 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?
  21. 21.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  22. 22.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?
  23. 23.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 20 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  26. 26.A boat goes 88 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  29. 29.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  30. 30.A boat goes 28 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.Two trains, 230 m and 130 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?
  32. 32.A boat goes at 19 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 111 km upstream and come back?
  33. 33.A boat goes 92 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  34. 34.Two trains, 70 m and 110 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?
  35. 35.Two trains, 150 m and 170 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?
  36. 36.Two trains, 210 m and 190 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?
  37. 37.A boat goes 66 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes 100 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 18
  2. 7
  3. 10
  4. 21
  5. 5
  6. 375
  7. 9
  8. 520
  9. 32
  10. 20
  11. 15
  12. 22
  13. 28
  14. 11
  15. 270
  16. 17
  17. 25
  18. 12
  19. 200
  20. 9
  21. 18
  22. 9
  23. 24
  24. 8
  25. 19
  26. 20
  27. 8
  28. 200
  29. 340
  30. 10
  31. 9
  32. 114
  33. 5
  34. 4
  35. 8
  36. 10
  37. 3
  38. 30
  39. 19
  40. 6

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