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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 656 · 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 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 80 km upstream and come back?
  2. 2.A boat goes 45 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A boat goes 88 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  5. 5.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  6. 6.Two trains, 80 m and 235 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?
  7. 7.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  8. 8.A boat goes 44 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  9. 9.Two trains, 80 m and 100 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?
  10. 10.Two trains, 60 m and 80 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?
  11. 11.A boat goes at 13 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 120 km upstream and come back?
  12. 12.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  13. 13.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 230 m and 190 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?
  15. 15.Two trains, 90 m and 180 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?
  16. 16.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  17. 17.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  19. 19.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?
  20. 20.Two trains, 60 m and 220 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?
  21. 21.Two trains, 170 m and 70 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?
  22. 22.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  23. 23.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 18 km upstream and come back?
  24. 24.Two trains, 70 m and 260 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?
  25. 25.A boat goes 90 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  26. 26.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  27. 27.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  28. 28.A boat goes 34 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  30. 30.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 28 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A boat goes 42 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)?
  33. 33.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  35. 35.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 120 km upstream and come back?
  36. 36.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  37. 37.A boat goes 30 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  40. 40.Two trains, 170 m and 130 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?

Answer key

  1. 25
  2. 6
  3. 17
  4. 16
  5. 35
  6. 9
  7. 34
  8. 5
  9. 6
  10. 4
  11. 65
  12. 31
  13. 10
  14. 12
  15. 9
  16. 2
  17. 24
  18. 5
  19. 13
  20. 7
  21. 8
  22. 600
  23. 4
  24. 11
  25. 2
  26. 22
  27. 30
  28. 13
  29. 35
  30. 16
  31. 10
  32. 9
  33. 13
  34. 35
  35. 36
  36. 20
  37. 14
  38. 24
  39. 575
  40. 12

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