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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 287 · 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 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 20 km upstream and come back?
  2. 2.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  3. 3.Two trains, 150 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?
  4. 4.A boat goes 38 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  5. 5.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  6. 6.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  7. 7.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 60 km upstream and come back?
  8. 8.A boat goes 80 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  9. 9.A boat goes at 20 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 111 km upstream and come back?
  10. 10.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  11. 11.A boat goes at 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  12. 12.A boat goes 110 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.Two trains, 140 m and 80 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 running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  15. 15.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  16. 16.Two trains, 120 m and 230 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?
  17. 17.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  18. 18.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  19. 19.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  20. 20.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  21. 21.A train 260 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 22 seconds. How long is the train (in metres)?
  23. 23.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  24. 24.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 120 km upstream and come back?
  25. 25.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  27. 27.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  28. 28.A boat goes at 13 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?
  29. 29.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  30. 30.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 92 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  32. 32.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 24 km upstream and come back?
  33. 33.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  34. 34.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  35. 35.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  36. 36.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 54 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.Two trains, 110 m and 190 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?
  39. 39.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  40. 40.A boat goes at 19 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 108 km upstream and come back?

Answer key

  1. 7
  2. 29
  3. 7
  4. 2
  5. 675
  6. 17
  7. 36
  8. 3
  9. 40
  10. 35
  11. 24
  12. 17
  13. 11
  14. 110
  15. 14
  16. 10
  17. 540
  18. 405
  19. 31
  20. 22
  21. 26
  22. 550
  23. 170
  24. 32
  25. 10
  26. 33
  27. 25
  28. 13
  29. 9
  30. 13
  31. 5
  32. 5
  33. 17
  34. 29
  35. 33
  36. 10
  37. 15
  38. 10
  39. 13
  40. 57

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