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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 942 · 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 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 72 km upstream and come back?
  3. 3.A boat goes 65 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 56 km upstream and come back?
  5. 5.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 44 km upstream and come back?
  6. 6.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  7. 7.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.Two trains, 150 m and 60 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?
  9. 9.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  11. 11.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  12. 12.Two trains, 230 m and 50 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?
  13. 13.Two trains, 190 m and 50 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?
  14. 14.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  15. 15.A boat goes at 12 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 119 km upstream and come back?
  16. 16.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  18. 18.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 22 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  21. 21.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  22. 22.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  23. 23.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes 64 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 108 km upstream and come back?
  27. 27.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
  29. 29.Two trains, 140 m and 135 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?
  30. 30.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?
  31. 31.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  32. 32.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  33. 33.Two trains, 190 m and 50 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?
  34. 34.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  35. 35.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  36. 36.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  39. 39.A boat goes 52 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A boat goes 42 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 19
  2. 40
  3. 11
  4. 18
  5. 24
  6. 80
  7. 10
  8. 6
  9. 25
  10. 460
  11. 180
  12. 8
  13. 6
  14. 300
  15. 24
  16. 8
  17. 26
  18. 9
  19. 7
  20. 280
  21. 24
  22. 31
  23. 24
  24. 28
  25. 3
  26. 24
  27. 27
  28. 9
  29. 11
  30. 9
  31. 30
  32. 540
  33. 12
  34. 28
  35. 23
  36. 8
  37. 23
  38. 36
  39. 11
  40. 1

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