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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 194 · 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 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.Two trains, 50 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?
  3. 3.Two trains, 150 m and 60 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  4. 4.Two trains, 80 m and 100 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?
  5. 5.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  6. 6.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  7. 7.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  8. 8.A boat goes 33 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A boat goes 45 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 78 km upstream and come back?
  11. 11.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 112 km upstream and come back?
  12. 12.Two trains, 80 m and 100 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?
  13. 13.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  14. 14.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  15. 15.Two trains, 50 m and 125 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?
  16. 16.Two trains, 70 m and 290 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?
  17. 17.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  18. 18.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  19. 19.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  20. 20.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  21. 21.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  22. 22.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  23. 23.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  24. 24.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  25. 25.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  26. 26.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  27. 27.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  29. 29.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  30. 30.A boat goes 65 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  31. 31.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  32. 32.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  33. 33.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  34. 34.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes 45 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.Two trains, 130 m and 150 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?
  38. 38.Two trains, 80 m and 100 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  39. 39.A boat goes 84 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 22
  2. 8
  3. 7
  4. 9
  5. 240
  6. 19
  7. 450
  8. 7
  9. 11
  10. 32
  11. 42
  12. 4
  13. 43
  14. 28
  15. 5
  16. 9
  17. 37
  18. 38
  19. 100
  20. 300
  21. 200
  22. 17
  23. 22
  24. 28
  25. 43
  26. 21
  27. 26
  28. 220
  29. 23
  30. 2
  31. 320
  32. 80
  33. 100
  34. 8
  35. 12
  36. 10
  37. 7
  38. 6
  39. 2
  40. 23

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