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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 495 · 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 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  2. 2.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  3. 3.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.Two trains, 150 m and 235 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?
  5. 5.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  7. 7.Two trains, 100 m and 110 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  8. 8.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  9. 9.Two trains, 100 m and 300 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  10. 10.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  11. 11.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?
  12. 12.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes 39 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 75 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)?
  17. 17.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 108 km upstream and come back?
  18. 18.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  19. 19.A boat goes 22 km downstream in 2 hours and 2 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  21. 21.A boat goes 64 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  22. 22.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  23. 23.A boat goes 32 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  25. 25.Two trains, 90 m and 460 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  26. 26.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 69 km upstream and come back?
  28. 28.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  29. 29.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  30. 30.A boat goes 56 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A boat goes 84 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 42 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A boat goes at 19 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 96 km upstream and come back?
  35. 35.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  37. 37.Two trains, 170 m and 130 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?
  38. 38.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes 100 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  40. 40.Two trains, 140 m and 260 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?

Answer key

  1. 19
  2. 340
  3. 13
  4. 11
  5. 27
  6. 25
  7. 7
  8. 130
  9. 8
  10. 70
  11. 24
  12. 11
  13. 2
  14. 6
  15. 10
  16. 13
  17. 48
  18. 260
  19. 6
  20. 20
  21. 5
  22. 120
  23. 2
  24. 13
  25. 11
  26. 26
  27. 72
  28. 32
  29. 30
  30. 12
  31. 18
  32. 16
  33. 18
  34. 19
  35. 30
  36. 160
  37. 12
  38. 11
  39. 5
  40. 8

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