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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 461 · 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 boat goes 55 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)?
  2. 2.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  3. 3.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  4. 4.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  7. 7.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  9. 9.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 60 m and 345 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?
  11. 11.Two trains, 80 m and 120 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?
  12. 12.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  13. 13.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  14. 14.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  15. 15.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 36 km upstream and come back?
  16. 16.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  18. 18.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 70 km upstream and come back?
  19. 19.Two trains, 100 m and 60 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?
  20. 20.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  21. 21.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  22. 22.A boat goes 60 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  24. 24.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  25. 25.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  26. 26.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  27. 27.Two trains, 90 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?
  28. 28.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 99 km upstream and come back?
  30. 30.A boat goes 27 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  31. 31.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  33. 33.Two trains, 180 m and 180 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?
  34. 34.A boat goes at 20 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 96 km upstream and come back?
  35. 35.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  36. 36.A boat goes 63 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  37. 37.A boat goes 80 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  38. 38.Two trains, 110 m and 170 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 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  40. 40.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 8
  2. 220
  3. 21
  4. 17
  5. 22
  6. 31
  7. 20
  8. 150
  9. 14
  10. 9
  11. 10
  12. 200
  13. 21
  14. 33
  15. 15
  16. 25
  17. 29
  18. 40
  19. 8
  20. 22
  21. 12
  22. 14
  23. 3
  24. 50
  25. 75
  26. 270
  27. 7
  28. 17
  29. 42
  30. 3
  31. 4
  32. 27
  33. 12
  34. 15
  35. 60
  36. 2
  37. 2
  38. 8
  39. 19
  40. 16

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