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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 727 · 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 75 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.Two trains, 200 m and 75 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?
  3. 3.Two trains, 70 m and 175 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?
  4. 4.A boat goes at 20 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 102 km upstream and come back?
  5. 5.A boat goes at 17 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  6. 6.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  8. 8.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  9. 9.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 32 km upstream and come back?
  11. 11.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  13. 13.Two trains, 170 m and 215 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?
  14. 14.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  15. 15.Two trains, 160 m and 290 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?
  16. 16.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes 70 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)?
  18. 18.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?
  19. 19.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  20. 20.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  21. 21.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)?
  22. 22.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 105 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.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?
  26. 26.A boat goes 33 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.Two trains, 150 m and 345 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?
  28. 28.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)?
  29. 29.A boat goes 110 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)?
  30. 30.A boat goes 84 km downstream in 4 hours and 76 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.Two trains, 190 m and 85 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?
  32. 32.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 112 km upstream and come back?
  33. 33.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  34. 34.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  35. 35.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  37. 37.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  38. 38.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.Two trains, 80 m and 400 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?
  40. 40.A boat goes 75 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 10
  2. 11
  3. 7
  4. 20
  5. 17
  6. 8
  7. 90
  8. 560
  9. 11
  10. 18
  11. 29
  12. 14
  13. 11
  14. 260
  15. 10
  16. 18
  17. 13
  18. 40
  19. 150
  20. 30
  21. 5
  22. 15
  23. 30
  24. 17
  25. 32
  26. 7
  27. 11
  28. 1
  29. 18
  30. 20
  31. 11
  32. 21
  33. 24
  34. 13
  35. 8
  36. 175
  37. 70
  38. 6
  39. 12
  40. 1

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