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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 57 · 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 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.Two trains, 100 m and 140 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?
  3. 3.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  4. 4.A boat goes 24 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  5. 5.A boat goes 60 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A boat goes at 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  7. 7.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  8. 8.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 16 km upstream and come back?
  9. 9.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  10. 10.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  11. 11.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  12. 12.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes 30 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)?
  14. 14.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  15. 15.Two trains, 70 m and 175 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?
  16. 16.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  17. 17.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  18. 18.A boat goes 45 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A boat goes 68 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.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)?
  21. 21.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 80 km upstream and come back?
  22. 22.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  23. 23.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  24. 24.Two trains, 130 m and 170 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 train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes at 20 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 36 km upstream and come back?
  27. 27.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 110 m and 160 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?
  29. 29.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  31. 31.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  32. 32.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  33. 33.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  35. 35.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  36. 36.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  37. 37.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  38. 38.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 40 km upstream and come back?
  39. 39.Two trains, 190 m and 250 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  40. 40.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 11
  2. 6
  3. 120
  4. 4
  5. 11
  6. 26
  7. 29
  8. 6
  9. 36
  10. 100
  11. 16
  12. 24
  13. 7
  14. 42
  15. 7
  16. 25
  17. 37
  18. 11
  19. 16
  20. 18
  21. 12
  22. 17
  23. 27
  24. 10
  25. 6
  26. 10
  27. 16
  28. 6
  29. 5
  30. 135
  31. 33
  32. 16
  33. 9
  34. 30
  35. 44
  36. 26
  37. 21
  38. 12
  39. 11
  40. 19

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