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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 881 · 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 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  2. 2.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 70 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?
  4. 4.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  6. 6.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 120 km upstream and come back?
  7. 7.A boat goes 32 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  8. 8.Two trains, 70 m and 250 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?
  9. 9.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 16 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 60 km upstream and come back?
  11. 11.Two trains, 120 m and 300 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?
  12. 12.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  13. 13.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  17. 17.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  18. 18.Two trains, 50 m and 50 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.Two trains, 220 m and 95 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?
  20. 20.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 18 km upstream and come back?
  21. 21.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  22. 22.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  23. 23.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.Two trains, 230 m and 210 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?
  25. 25.Two trains, 110 m and 65 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?
  26. 26.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  27. 27.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  28. 28.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  29. 29.Two trains, 50 m and 270 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?
  30. 30.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 80 m and 95 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?
  32. 32.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  33. 33.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  34. 34.A boat goes 95 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  35. 35.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  36. 36.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  37. 37.Two trains, 60 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?
  38. 38.A boat goes 70 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  40. 40.A boat goes 50 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 31
  2. 30
  3. 6
  4. 12
  5. 520
  6. 40
  7. 3
  8. 8
  9. 75
  10. 8
  11. 12
  12. 28
  13. 8
  14. 27
  15. 19
  16. 275
  17. 10
  18. 4
  19. 7
  20. 10
  21. 22
  22. 35
  23. 10
  24. 11
  25. 5
  26. 725
  27. 38
  28. 23
  29. 8
  30. 5
  31. 5
  32. 475
  33. 480
  34. 1
  35. 340
  36. 12
  37. 7
  38. 11
  39. 28
  40. 9

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