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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 127 · 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, 150 m and 250 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?
  2. 2.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 120 km upstream and come back?
  3. 3.Two trains, 90 m and 225 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?
  4. 4.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  5. 5.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  6. 6.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 115 km upstream and come back?
  7. 7.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes 88 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.Two trains, 240 m and 120 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?
  10. 10.Two trains, 180 m and 260 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?
  11. 11.Two trains, 190 m and 90 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?
  12. 12.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  13. 13.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  14. 14.A train running at 72 km/h passes a pole in 23 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 pass a pole?
  16. 16.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 96 km upstream and come back?
  17. 17.A boat goes 48 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  18. 18.A boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  19. 19.Two trains, 240 m and 80 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?
  20. 20.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  21. 21.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes 60 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  24. 24.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  25. 25.Two trains, 60 m and 165 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?
  26. 26.A boat goes 80 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  27. 27.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 90 km upstream and come back?
  28. 28.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  29. 29.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  30. 30.Two trains, 100 m and 140 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?
  31. 31.Two trains, 240 m and 120 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 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  33. 33.A boat goes 30 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  35. 35.Two trains, 70 m and 170 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?
  36. 36.Two trains, 190 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?
  37. 37.Two trains, 90 m and 230 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?
  38. 38.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  39. 39.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 88 km upstream and come back?
  40. 40.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?

Answer key

  1. 10
  2. 72
  3. 9
  4. 500
  5. 300
  6. 120
  7. 10
  8. 17
  9. 8
  10. 11
  11. 7
  12. 325
  13. 390
  14. 460
  15. 7
  16. 28
  17. 3
  18. 1
  19. 8
  20. 100
  21. 24
  22. 11
  23. 280
  24. 180
  25. 9
  26. 1
  27. 16
  28. 28
  29. 500
  30. 6
  31. 9
  32. 13
  33. 11
  34. 18
  35. 12
  36. 8
  37. 8
  38. 220
  39. 26
  40. 38

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