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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 371 · 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 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  3. 3.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  4. 4.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  5. 5.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  7. 7.A boat goes 26 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  8. 8.Two trains, 190 m and 160 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.Two trains, 110 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?
  10. 10.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 90 m and 110 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 boat goes at 14 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 80 km upstream and come back?
  13. 13.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  14. 14.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  16. 16.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 51 km upstream and come back?
  17. 17.A boat goes 75 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  18. 18.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  19. 19.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?
  20. 20.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  21. 21.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes 48 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  24. 24.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  25. 25.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  26. 26.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.Two trains, 190 m and 305 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?
  31. 31.A boat goes 72 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.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 84 km upstream and come back?
  33. 33.Two trains, 130 m and 270 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?
  34. 34.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  35. 35.Two trains, 60 m and 345 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?
  36. 36.A boat goes 38 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 60 m and 140 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?
  39. 39.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  40. 40.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 28 km upstream and come back?

Answer key

  1. 10
  2. 17
  3. 17
  4. 625
  5. 7
  6. 24
  7. 1
  8. 10
  9. 11
  10. 11
  11. 5
  12. 14
  13. 450
  14. 5
  15. 200
  16. 54
  17. 5
  18. 150
  19. 18
  20. 180
  21. 26
  22. 4
  23. 32
  24. 120
  25. 300
  26. 19
  27. 7
  28. 18
  29. 28
  30. 11
  31. 13
  32. 35
  33. 10
  34. 7
  35. 9
  36. 2
  37. 28
  38. 8
  39. 285
  40. 9

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