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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 777 · 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 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 22 km downstream in 2 hours and 2 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  4. 4.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.Two trains, 110 m and 240 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?
  6. 6.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.Two trains, 60 m and 240 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?
  8. 8.A boat goes 26 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  9. 9.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  10. 10.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  11. 11.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  12. 12.A boat goes at 20 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 48 km upstream and come back?
  13. 13.Two trains, 200 m and 115 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?
  14. 14.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  15. 15.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  16. 16.Two trains, 120 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?
  17. 17.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes at 19 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 120 km upstream and come back?
  19. 19.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  21. 21.A boat goes 56 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)?
  22. 22.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  24. 24.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 50 m and 50 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?
  26. 26.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  27. 27.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 70 m and 70 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  29. 29.A boat goes 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  30. 30.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 63 km upstream and come back?
  31. 31.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 75 km upstream and come back?
  32. 32.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  34. 34.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  35. 35.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  36. 36.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  39. 39.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 60 m and 210 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?

Answer key

  1. 11
  2. 6
  3. 19
  4. 10
  5. 10
  6. 18
  7. 6
  8. 3
  9. 435
  10. 165
  11. 230
  12. 5
  13. 9
  14. 80
  15. 70
  16. 12
  17. 19
  18. 19
  19. 22
  20. 25
  21. 10
  22. 25
  23. 220
  24. 16
  25. 4
  26. 160
  27. 12
  28. 4
  29. 1
  30. 70
  31. 78
  32. 15
  33. 22
  34. 18
  35. 35
  36. 26
  37. 9
  38. 27
  39. 18
  40. 9

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