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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 351 · 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 train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 42 km upstream and come back?
  3. 3.Two trains, 90 m and 350 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?
  4. 4.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  5. 5.Two trains, 170 m and 145 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  6. 6.Two trains, 190 m and 125 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?
  7. 7.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  9. 9.A boat goes at 19 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 96 km upstream and come back?
  10. 10.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)?
  11. 11.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  12. 12.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)?
  13. 13.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  14. 14.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 17 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 93 km upstream and come back?
  16. 16.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  17. 17.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  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 84 km upstream and come back?
  19. 19.Two trains, 70 m and 180 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?
  20. 20.A boat goes at 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 33 km upstream and come back?
  21. 21.Two trains, 80 m and 60 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?
  22. 22.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  23. 23.A boat goes 45 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  25. 25.Two trains, 130 m and 140 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?
  26. 26.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 22 km upstream and come back?
  27. 27.A boat goes 100 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)?
  28. 28.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  29. 29.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  32. 32.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 88 km upstream and come back?
  33. 33.Two trains, 120 m and 150 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?
  34. 34.Two trains, 250 m and 70 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?
  35. 35.A boat goes 54 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  37. 37.Two trains, 150 m and 200 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?
  38. 38.Two trains, 140 m and 210 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?
  39. 39.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  40. 40.Two trains, 90 m and 150 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?

Answer key

  1. 20
  2. 10
  3. 11
  4. 15
  5. 7
  6. 9
  7. 24
  8. 50
  9. 19
  10. 1
  11. 17
  12. 8
  13. 30
  14. 18
  15. 34
  16. 13
  17. 320
  18. 28
  19. 5
  20. 12
  21. 4
  22. 725
  23. 1
  24. 27
  25. 9
  26. 12
  27. 15
  28. 230
  29. 19
  30. 5
  31. 360
  32. 26
  33. 9
  34. 8
  35. 4
  36. 33
  37. 7
  38. 10
  39. 23
  40. 12

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