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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 623 · 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 16 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 31 km upstream and come back?
  2. 2.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  3. 3.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  4. 4.A boat goes 105 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  5. 5.A boat goes 88 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.Two trains, 70 m and 230 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?
  7. 7.Two trains, 80 m and 100 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?
  8. 8.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 70 km upstream and come back?
  9. 9.A boat goes 60 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.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 21 km upstream and come back?
  12. 12.A boat goes at 5 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?
  13. 13.A boat goes 26 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  14. 14.A boat goes 75 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  15. 15.Two trains, 130 m and 70 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?
  16. 16.Two trains, 70 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?
  17. 17.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  19. 19.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes 33 km downstream in 3 hours and 3 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  21. 21.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 60 m and 300 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 boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  24. 24.Two trains, 190 m and 170 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?
  25. 25.A boat goes 70 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  26. 26.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  27. 27.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?
  28. 28.A boat goes 63 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  30. 30.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  31. 31.Two trains, 70 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?
  32. 32.Two trains, 130 m and 275 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?
  33. 33.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  34. 34.A boat goes 60 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  36. 36.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 54 km upstream and come back?
  38. 38.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  39. 39.Two trains, 70 m and 105 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?
  40. 40.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?

Answer key

  1. 32
  2. 26
  3. 240
  4. 2
  5. 20
  6. 10
  7. 9
  8. 24
  9. 10
  10. 8
  11. 10
  12. 100
  13. 4
  14. 5
  15. 10
  16. 6
  17. 5
  18. 600
  19. 23
  20. 5
  21. 10
  22. 12
  23. 18
  24. 9
  25. 2
  26. 28
  27. 6
  28. 19
  29. 23
  30. 3
  31. 7
  32. 9
  33. 560
  34. 2
  35. 28
  36. 23
  37. 12
  38. 22
  39. 7
  40. 31

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