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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 423 · 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.Two trains, 180 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?
  2. 2.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  3. 3.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?
  4. 4.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  5. 5.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  6. 6.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  7. 7.Two trains, 90 m and 85 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?
  8. 8.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 240 m and 310 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  10. 10.Two trains, 70 m and 50 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?
  11. 11.A boat goes 39 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 52 km upstream and come back?
  13. 13.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 48 km upstream and come back?
  14. 14.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?
  15. 15.Two trains, 80 m and 195 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?
  16. 16.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?
  17. 17.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  18. 18.A boat goes 66 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A boat goes 26 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  21. 21.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  24. 24.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  26. 26.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 190 m and 60 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  28. 28.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  29. 29.Two trains, 60 m and 80 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?
  30. 30.A boat goes 44 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  31. 31.Two trains, 60 m and 325 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?
  32. 32.A boat goes 22 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  35. 35.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 36 km upstream and come back?
  36. 36.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  37. 37.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?
  38. 38.A boat goes 46 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)?
  39. 39.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  40. 40.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 63 km upstream and come back?

Answer key

  1. 8
  2. 34
  3. 12
  4. 70
  5. 12
  6. 105
  7. 5
  8. 12
  9. 11
  10. 6
  11. 5
  12. 56
  13. 6
  14. 13
  15. 11
  16. 18
  17. 28
  18. 17
  19. 1
  20. 29
  21. 7
  22. 5
  23. 31
  24. 27
  25. 25
  26. 30
  27. 5
  28. 140
  29. 7
  30. 4
  31. 11
  32. 1
  33. 11
  34. 120
  35. 11
  36. 33
  37. 32
  38. 18
  39. 20
  40. 12

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