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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 210 · 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 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 190 m and 80 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?
  4. 4.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.Two trains, 180 m and 70 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  7. 7.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  9. 9.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 64 km upstream and come back?
  10. 10.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 120 km upstream and come back?
  12. 12.A boat goes 42 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  13. 13.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  14. 14.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  15. 15.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 19 km upstream and come back?
  16. 16.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)?
  17. 17.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  18. 18.Two trains, 80 m and 170 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  19. 19.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes at 17 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 84 km upstream and come back?
  21. 21.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 60 km upstream and come back?
  22. 22.A boat goes 36 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  24. 24.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  26. 26.Two trains, 160 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?
  27. 27.A boat goes 45 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  28. 28.Two trains, 50 m and 175 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  29. 29.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  31. 31.Two trains, 180 m and 60 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?
  32. 32.A boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 60 km upstream and come back?
  33. 33.Two trains, 60 m and 150 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?
  34. 34.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  36. 36.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.Two trains, 150 m and 100 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?
  38. 38.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  39. 39.A boat goes 75 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  40. 40.A boat goes at 18 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 30 km upstream and come back?

Answer key

  1. 14
  2. 13
  3. 9
  4. 23
  5. 9
  6. 10
  7. 8
  8. 18
  9. 24
  10. 19
  11. 25
  12. 4
  13. 190
  14. 26
  15. 20
  16. 4
  17. 27
  18. 10
  19. 28
  20. 17
  21. 9
  22. 2
  23. 39
  24. 20
  25. 33
  26. 11
  27. 5
  28. 5
  29. 10
  30. 10
  31. 6
  32. 13
  33. 6
  34. 16
  35. 170
  36. 26
  37. 10
  38. 140
  39. 5
  40. 6

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