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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 369 · 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 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  2. 2.Two trains, 70 m and 315 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 train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  4. 4.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 42 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.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 80 km upstream and come back?
  7. 7.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 60 km upstream and come back?
  8. 8.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  9. 9.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  10. 10.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.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?
  12. 12.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.Two trains, 70 m and 170 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?
  14. 14.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 33 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.Two trains, 70 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?
  18. 18.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  19. 19.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  20. 20.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  21. 21.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  23. 23.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  24. 24.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  25. 25.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  26. 26.A boat goes 33 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.Two trains, 130 m and 70 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?
  28. 28.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  29. 29.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  31. 31.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  32. 32.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  33. 33.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  34. 34.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  35. 35.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  36. 36.A boat goes 48 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  38. 38.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  39. 39.A boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  40. 40.A boat goes 42 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 39
  2. 11
  3. 38
  4. 8
  5. 17
  6. 18
  7. 21
  8. 375
  9. 22
  10. 13
  11. 9
  12. 13
  13. 12
  14. 12
  15. 8
  16. 28
  17. 7
  18. 28
  19. 41
  20. 440
  21. 24
  22. 375
  23. 20
  24. 270
  25. 110
  26. 10
  27. 8
  28. 37
  29. 7
  30. 17
  31. 19
  32. 420
  33. 28
  34. 350
  35. 32
  36. 10
  37. 425
  38. 28
  39. 1
  40. 5

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