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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 568 · 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, 250 m and 65 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?
  2. 2.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  3. 3.A boat goes 60 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  4. 4.Two trains, 110 m and 130 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?
  5. 5.Two trains, 90 m and 230 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?
  6. 6.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  7. 7.A boat goes 46 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  10. 10.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  11. 11.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  12. 12.Two trains, 130 m and 110 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?
  13. 13.A boat goes 52 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  14. 14.Two trains, 60 m and 220 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?
  15. 15.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  16. 16.Two trains, 70 m and 315 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?
  17. 17.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 45 km upstream and come back?
  18. 18.Two trains, 100 m and 50 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?
  19. 19.Two trains, 190 m and 90 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?
  20. 20.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  21. 21.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  22. 22.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  23. 23.A boat goes 64 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 48 km upstream and come back?
  25. 25.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  26. 26.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  27. 27.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes at 17 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 33 km upstream and come back?
  29. 29.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  30. 30.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  31. 31.A boat goes 64 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A boat goes 72 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  34. 34.Two trains, 50 m and 170 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?
  35. 35.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  36. 36.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  37. 37.A boat goes 45 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  38. 38.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  39. 39.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  40. 40.A boat goes 20 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 7
  2. 21
  3. 5
  4. 6
  5. 8
  6. 29
  7. 20
  8. 22
  9. 23
  10. 26
  11. 320
  12. 12
  13. 1
  14. 7
  15. 240
  16. 11
  17. 8
  18. 6
  19. 7
  20. 420
  21. 21
  22. 22
  23. 4
  24. 14
  25. 18
  26. 120
  27. 11
  28. 34
  29. 405
  30. 750
  31. 15
  32. 2
  33. 25
  34. 11
  35. 26
  36. 180
  37. 2
  38. 270
  39. 29
  40. 2

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