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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 324 · 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 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 70 m and 370 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?
  4. 4.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 22 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)?
  7. 7.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  9. 9.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  11. 11.A boat goes 70 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  13. 13.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  14. 14.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  15. 15.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  16. 16.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  17. 17.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  18. 18.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 84 km upstream and come back?
  19. 19.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  21. 21.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  22. 22.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  24. 24.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 66 km upstream and come back?
  25. 25.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)?
  26. 26.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  27. 27.A boat goes 72 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  28. 28.A boat goes 48 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.Two trains, 170 m and 190 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?
  30. 30.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  31. 31.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  32. 32.A boat goes 20 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.Two trains, 160 m and 80 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?
  34. 34.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  35. 35.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  37. 37.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  38. 38.Two trains, 130 m and 70 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?
  39. 39.A boat goes at 16 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 48 km upstream and come back?
  40. 40.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?

Answer key

  1. 7
  2. 16
  3. 11
  4. 18
  5. 19
  6. 8
  7. 21
  8. 345
  9. 18
  10. 36
  11. 1
  12. 27
  13. 34
  14. 33
  15. 31
  16. 100
  17. 420
  18. 88
  19. 28
  20. 700
  21. 12
  22. 19
  23. 29
  24. 36
  25. 1
  26. 38
  27. 2
  28. 9
  29. 9
  30. 240
  31. 29
  32. 8
  33. 6
  34. 29
  35. 12
  36. 21
  37. 20
  38. 8
  39. 8
  40. 21

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