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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 910 · 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, 110 m and 250 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?
  2. 2.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  3. 3.A boat goes 64 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  5. 5.Two trains, 130 m and 230 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?
  6. 6.A boat goes 60 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  8. 8.Two trains, 60 m and 185 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?
  9. 9.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  10. 10.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  11. 11.Two trains, 100 m and 140 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  12. 12.Two trains, 100 m and 380 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?
  13. 13.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)?
  14. 14.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  16. 16.Two trains, 190 m and 110 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?
  17. 17.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  18. 18.A boat goes 60 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  19. 19.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  20. 20.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  21. 21.Two trains, 160 m and 110 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?
  22. 22.Two trains, 80 m and 220 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?
  23. 23.Two trains, 90 m and 330 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?
  24. 24.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 55 km upstream and come back?
  25. 25.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  27. 27.Two trains, 160 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?
  28. 28.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  29. 29.Two trains, 170 m and 310 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?
  30. 30.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  31. 31.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?
  32. 32.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 48 km upstream and come back?
  34. 34.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  35. 35.A boat goes 80 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 20 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 35 km upstream and come back?
  38. 38.A boat goes 44 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  39. 39.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  40. 40.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 8
  2. 22
  3. 14
  4. 20
  5. 9
  6. 11
  7. 19
  8. 7
  9. 24
  10. 37
  11. 8
  12. 12
  13. 11
  14. 24
  15. 11
  16. 6
  17. 22
  18. 2
  19. 33
  20. 700
  21. 9
  22. 12
  23. 12
  24. 16
  25. 15
  26. 300
  27. 12
  28. 29
  29. 12
  30. 38
  31. 16
  32. 9
  33. 30
  34. 25
  35. 16
  36. 23
  37. 8
  38. 3
  39. 380
  40. 26

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