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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 754 · 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 running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  2. 2.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  3. 3.Two trains, 70 m and 410 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?
  4. 4.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 84 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  6. 6.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  9. 9.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes at 18 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 105 km upstream and come back?
  11. 11.Two trains, 70 m and 245 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?
  12. 12.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes 95 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  16. 16.Two trains, 100 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?
  17. 17.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  18. 18.Two trains, 160 m and 245 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?
  19. 19.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 24 km upstream and come back?
  20. 20.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  21. 21.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  23. 23.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 60 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  25. 25.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  26. 26.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  27. 27.Two trains, 170 m and 110 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?
  28. 28.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  29. 29.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  31. 31.A boat goes 60 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  32. 32.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  33. 33.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  34. 34.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  35. 35.Two trains, 130 m and 80 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?
  36. 36.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  37. 37.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes 90 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)?
  40. 40.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?

Answer key

  1. 240
  2. 300
  3. 12
  4. 11
  5. 3
  6. 29
  7. 17
  8. 27
  9. 22
  10. 12
  11. 9
  12. 10
  13. 15
  14. 9
  15. 28
  16. 6
  17. 275
  18. 9
  19. 14
  20. 140
  21. 28
  22. 25
  23. 5
  24. 2
  25. 345
  26. 285
  27. 7
  28. 12
  29. 29
  30. 22
  31. 3
  32. 340
  33. 260
  34. 26
  35. 7
  36. 170
  37. 20
  38. 7
  39. 14
  40. 280

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