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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 1 · 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 36 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  2. 2.A boat goes 100 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.Two trains, 50 m and 300 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  4. 4.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 14 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.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 100 km upstream and come back?
  7. 7.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  8. 8.A boat goes at 20 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 48 km upstream and come back?
  9. 9.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes 80 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  11. 11.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  13. 13.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 72 km upstream and come back?
  14. 14.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.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?
  16. 16.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)?
  17. 17.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  18. 18.A boat goes 80 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  20. 20.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  21. 21.Two trains, 160 m and 85 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?
  22. 22.Two trains, 80 m and 235 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?
  23. 23.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 80 km upstream and come back?
  24. 24.A boat goes at 16 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 78 km upstream and come back?
  25. 25.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  26. 26.A boat goes 80 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.Two trains, 60 m and 115 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?
  28. 28.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  29. 29.Two trains, 70 m and 140 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  30. 30.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  31. 31.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  32. 32.Two trains, 170 m and 160 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?
  33. 33.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 20 km upstream and come back?
  34. 34.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes 110 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  36. 36.A boat goes 70 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  37. 37.A boat goes 54 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 44 km upstream and come back?
  39. 39.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  40. 40.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?

Answer key

  1. 5
  2. 17
  3. 10
  4. 15
  5. 6
  6. 35
  7. 27
  8. 5
  9. 7
  10. 1
  11. 24
  12. 28
  13. 15
  14. 6
  15. 7
  16. 2
  17. 30
  18. 17
  19. 100
  20. 26
  21. 7
  22. 9
  23. 18
  24. 16
  25. 320
  26. 15
  27. 5
  28. 25
  29. 6
  30. 400
  31. 35
  32. 11
  33. 11
  34. 9
  35. 5
  36. 4
  37. 13
  38. 13
  39. 23
  40. 35

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