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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 456 · 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 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  2. 2.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  3. 3.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  4. 4.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  5. 5.A boat goes 30 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  6. 6.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  7. 7.A boat goes 40 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  8. 8.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  11. 11.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  12. 12.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  13. 13.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.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)?
  15. 15.A boat goes 115 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A boat goes 40 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  17. 17.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  18. 18.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  19. 19.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  20. 20.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  22. 22.A boat goes 24 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  24. 24.Two trains, 250 m and 350 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  25. 25.Two trains, 90 m and 150 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?
  26. 26.A boat goes 32 km downstream in 2 hours and 24 km upstream in 2 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 cross a platform 75 m long?
  28. 28.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  29. 29.A boat goes 26 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes 39 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  33. 33.Two trains, 110 m and 160 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?
  34. 34.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  36. 36.Two trains, 50 m and 230 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?
  37. 37.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  38. 38.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.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?
  40. 40.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?

Answer key

  1. 37
  2. 315
  3. 23
  4. 28
  5. 4
  6. 22
  7. 4
  8. 26
  9. 29
  10. 25
  11. 350
  12. 36
  13. 12
  14. 2
  15. 19
  16. 1
  17. 125
  18. 30
  19. 150
  20. 22
  21. 2
  22. 1
  23. 22
  24. 12
  25. 8
  26. 14
  27. 13
  28. 33
  29. 9
  30. 10
  31. 21
  32. 1
  33. 9
  34. 1
  35. 190
  36. 8
  37. 36
  38. 27
  39. 7
  40. 14

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