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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 191 · 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 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes at 20 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 114 km upstream and come back?
  3. 3.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 78 km upstream and come back?
  4. 4.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 36 km upstream and come back?
  5. 5.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  6. 6.A boat goes 110 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)?
  7. 7.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 63 km upstream and come back?
  8. 8.Two trains, 60 m and 150 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  9. 9.Two trains, 50 m and 75 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?
  10. 10.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes 55 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes 48 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 12 km upstream and come back?
  14. 14.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  16. 16.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 60 km upstream and come back?
  17. 17.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.Two trains, 240 m and 110 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?
  19. 19.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.Two trains, 50 m and 125 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?
  21. 21.A boat goes 36 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A boat goes at 18 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 70 km upstream and come back?
  23. 23.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  24. 24.Two trains, 70 m and 105 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?
  25. 25.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  26. 26.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  27. 27.A boat goes at 18 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 35 km upstream and come back?
  28. 28.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  29. 29.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.Two trains, 90 m and 50 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?
  31. 31.A boat goes at 14 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  32. 32.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  33. 33.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  34. 34.A boat goes 70 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  36. 36.Two trains, 130 m and 50 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?
  37. 37.Two trains, 210 m and 270 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?
  38. 38.A boat goes 63 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  40. 40.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?

Answer key

  1. 5
  2. 60
  3. 84
  4. 11
  5. 28
  6. 20
  7. 30
  8. 7
  9. 5
  10. 19
  11. 3
  12. 8
  13. 4
  14. 24
  15. 31
  16. 16
  17. 10
  18. 7
  19. 6
  20. 5
  21. 8
  22. 72
  23. 34
  24. 5
  25. 220
  26. 30
  27. 36
  28. 300
  29. 20
  30. 7
  31. 14
  32. 35
  33. 22
  34. 10
  35. 37
  36. 4
  37. 12
  38. 17
  39. 70
  40. 60

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