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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 846 · 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.Two trains, 230 m and 155 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?
  3. 3.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 12 km upstream and come back?
  4. 4.A boat goes at 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 99 km upstream and come back?
  5. 5.Two trains, 190 m and 140 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?
  6. 6.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  7. 7.Two trains, 100 m and 380 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  8. 8.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  9. 9.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  10. 10.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  11. 11.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  12. 12.A boat goes at 18 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 105 km upstream and come back?
  13. 13.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  14. 14.A boat goes 120 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.Two trains, 100 m and 80 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?
  16. 16.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  17. 17.A boat goes 22 km downstream in 2 hours and 2 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 150 m and 165 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?
  20. 20.A boat goes 80 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  23. 23.Two trains, 60 m and 345 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?
  24. 24.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 84 km upstream and come back?
  26. 26.Two trains, 60 m and 140 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?
  27. 27.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  28. 28.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 150 m and 200 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?
  30. 30.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 36 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes at 18 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 32 km upstream and come back?
  35. 35.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  36. 36.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 51 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  39. 39.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  40. 40.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 45 km upstream and come back?

Answer key

  1. 11
  2. 11
  3. 3
  4. 36
  5. 11
  6. 105
  7. 12
  8. 18
  9. 195
  10. 625
  11. 33
  12. 108
  13. 150
  14. 19
  15. 9
  16. 22
  17. 5
  18. 20
  19. 9
  20. 13
  21. 10
  22. 31
  23. 9
  24. 15
  25. 21
  26. 4
  27. 16
  28. 12
  29. 10
  30. 30
  31. 5
  32. 5
  33. 21
  34. 9
  35. 100
  36. 12
  37. 3
  38. 19
  39. 540
  40. 50

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