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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 520 · 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 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  3. 3.A boat goes 68 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  4. 4.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  5. 5.Two trains, 110 m and 190 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?
  6. 6.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  7. 7.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes 38 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  10. 10.Two trains, 90 m and 330 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?
  11. 11.A boat goes 95 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.Two trains, 50 m and 75 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?
  14. 14.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)?
  15. 15.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  16. 16.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  17. 17.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  19. 19.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 50 km upstream and come back?
  21. 21.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?
  22. 22.Two trains, 210 m and 240 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?
  23. 23.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  24. 24.A boat goes at 19 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 72 km upstream and come back?
  25. 25.A boat goes 20 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  26. 26.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  27. 27.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  28. 28.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  29. 29.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  30. 30.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  31. 31.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  32. 32.Two trains, 50 m and 90 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?
  33. 33.A boat goes at 18 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 120 km upstream and come back?
  34. 34.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  35. 35.Two trains, 100 m and 320 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 train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 100 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  40. 40.A boat goes 26 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 9
  2. 130
  3. 3
  4. 30
  5. 12
  6. 275
  7. 14
  8. 17
  9. 42
  10. 12
  11. 1
  12. 25
  13. 5
  14. 14
  15. 60
  16. 11
  17. 16
  18. 450
  19. 11
  20. 52
  21. 32
  22. 10
  23. 36
  24. 38
  25. 4
  26. 125
  27. 26
  28. 22
  29. 38
  30. 90
  31. 30
  32. 4
  33. 24
  34. 22
  35. 12
  36. 6
  37. 7
  38. 5
  39. 31
  40. 12

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