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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 822 · 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 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  3. 3.Two trains, 80 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?
  4. 4.A boat goes at 14 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 120 km upstream and come back?
  5. 5.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 57 km upstream and come back?
  6. 6.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  7. 7.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  8. 8.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  9. 9.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes at 20 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?
  11. 11.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  12. 12.Two trains, 210 m and 175 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?
  13. 13.Two trains, 220 m and 320 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?
  14. 14.A boat goes 100 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.Two trains, 100 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?
  16. 16.Two trains, 240 m and 90 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?
  17. 17.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  18. 18.Two trains, 160 m and 200 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?
  19. 19.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  20. 20.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  21. 21.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  22. 22.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  23. 23.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.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?
  25. 25.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  26. 26.Two trains, 170 m and 180 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  27. 27.A boat goes 84 km downstream in 4 hours and 76 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 10 km upstream and come back?
  31. 31.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  32. 32.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 13 km upstream and come back?
  33. 33.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  34. 34.Two trains, 90 m and 50 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?
  35. 35.Two trains, 190 m and 55 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?
  36. 36.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  37. 37.A boat goes 110 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  38. 38.A boat goes 28 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  39. 39.A boat goes 28 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  40. 40.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?

Answer key

  1. 5
  2. 200
  3. 6
  4. 35
  5. 60
  6. 40
  7. 26
  8. 17
  9. 7
  10. 8
  11. 21
  12. 11
  13. 12
  14. 19
  15. 6
  16. 11
  17. 33
  18. 9
  19. 31
  20. 210
  21. 24
  22. 17
  23. 28
  24. 20
  25. 320
  26. 10
  27. 1
  28. 12
  29. 15
  30. 6
  31. 150
  32. 14
  33. 150
  34. 4
  35. 7
  36. 29
  37. 5
  38. 2
  39. 4
  40. 128

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