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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 839 · 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 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  3. 3.A boat goes at 17 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 99 km upstream and come back?
  4. 4.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  5. 5.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 56 km upstream and come back?
  6. 6.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 85 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  8. 8.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 105 km upstream and come back?
  9. 9.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  10. 10.A boat goes 51 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  11. 11.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.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?
  13. 13.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  14. 14.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  16. 16.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes at 17 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 120 km upstream and come back?
  18. 18.Two trains, 90 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?
  19. 19.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.Two trains, 70 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?
  21. 21.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  22. 22.Two trains, 180 m and 60 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?
  23. 23.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 32 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  25. 25.A boat goes at 20 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 32 km upstream and come back?
  26. 26.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  27. 27.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  28. 28.Two trains, 120 m and 160 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?
  29. 29.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  30. 30.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?
  31. 31.A boat goes at 5 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?
  32. 32.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  33. 33.A boat goes 45 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.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?
  35. 35.Two trains, 240 m and 165 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?
  36. 36.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  37. 37.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  38. 38.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  39. 39.A boat goes 42 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?

Answer key

  1. 28
  2. 31
  3. 102
  4. 450
  5. 32
  6. 17
  7. 2
  8. 110
  9. 16
  10. 5
  11. 24
  12. 19
  13. 29
  14. 20
  15. 560
  16. 7
  17. 34
  18. 5
  19. 17
  20. 6
  21. 25
  22. 8
  23. 6
  24. 3
  25. 5
  26. 23
  27. 29
  28. 8
  29. 60
  30. 8
  31. 35
  32. 28
  33. 8
  34. 72
  35. 9
  36. 280
  37. 17
  38. 180
  39. 2
  40. 28

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