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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 932 · 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 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 120 km upstream and come back?
  2. 2.A boat goes 27 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  3. 3.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)?
  4. 4.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  5. 5.Two trains, 230 m and 130 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?
  6. 6.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  7. 7.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  8. 8.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 32 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.A boat goes at 18 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 102 km upstream and come back?
  11. 11.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  12. 12.A boat goes 80 km downstream in 4 hours and 64 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 120 km upstream and come back?
  14. 14.Two trains, 140 m and 160 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?
  15. 15.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  16. 16.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 112 km upstream and come back?
  17. 17.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  18. 18.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  20. 20.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  21. 21.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  22. 22.Two trains, 100 m and 230 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?
  23. 23.Two trains, 80 m and 120 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?
  24. 24.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  25. 25.A boat goes 40 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  26. 26.Two trains, 50 m and 310 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?
  27. 27.Two trains, 160 m and 60 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?
  28. 28.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  29. 29.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  30. 30.Two trains, 50 m and 90 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.Two trains, 130 m and 80 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?
  32. 32.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.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?
  34. 34.Two trains, 140 m and 160 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  35. 35.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  36. 36.A boat goes 65 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 66 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A boat goes at 18 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 32 km upstream and come back?
  40. 40.A boat goes at 18 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 96 km upstream and come back?

Answer key

  1. 30
  2. 3
  3. 2
  4. 24
  5. 12
  6. 18
  7. 41
  8. 20
  9. 5
  10. 54
  11. 340
  12. 18
  13. 40
  14. 12
  15. 26
  16. 35
  17. 23
  18. 6
  19. 220
  20. 32
  21. 23
  22. 11
  23. 10
  24. 27
  25. 3
  26. 9
  27. 11
  28. 400
  29. 12
  30. 7
  31. 7
  32. 28
  33. 18
  34. 12
  35. 165
  36. 2
  37. 12
  38. 19
  39. 9
  40. 27

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