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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 815 · 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 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.Two trains, 80 m and 200 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?
  3. 3.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 120 km upstream and come back?
  4. 4.Two trains, 130 m and 290 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?
  5. 5.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 38 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  9. 9.Two trains, 160 m and 200 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?
  10. 10.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  11. 11.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.Two trains, 180 m and 95 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?
  13. 13.Two trains, 220 m and 140 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 27 seconds. How long is the train (in metres)?
  15. 15.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  16. 16.A boat goes 60 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  17. 17.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  18. 18.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  20. 20.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  21. 21.Two trains, 80 m and 190 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?
  22. 22.A boat goes at 14 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 54 km upstream and come back?
  23. 23.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  24. 24.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  25. 25.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  27. 27.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  28. 28.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes 16 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  30. 30.A boat goes 42 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A boat goes 36 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  33. 33.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  34. 34.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  35. 35.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  36. 36.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 44 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  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 at 18 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 81 km upstream and come back?
  40. 40.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?

Answer key

  1. 30
  2. 7
  3. 42
  4. 12
  5. 28
  6. 14
  7. 9
  8. 210
  9. 9
  10. 380
  11. 10
  12. 11
  13. 9
  14. 405
  15. 18
  16. 2
  17. 27
  18. 23
  19. 13
  20. 19
  21. 6
  22. 56
  23. 240
  24. 34
  25. 13
  26. 330
  27. 140
  28. 14
  29. 2
  30. 13
  31. 17
  32. 12
  33. 315
  34. 36
  35. 11
  36. 27
  37. 2
  38. 7
  39. 12
  40. 125

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