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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 33 · 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 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  2. 2.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  3. 3.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  4. 4.Two trains, 190 m and 110 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?
  5. 5.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  6. 6.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 44 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  8. 8.A boat goes 75 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  10. 10.Two trains, 200 m and 115 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?
  11. 11.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  14. 14.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  15. 15.Two trains, 170 m and 70 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?
  16. 16.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.Two trains, 150 m and 130 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?
  18. 18.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  19. 19.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?
  20. 20.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)?
  21. 21.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  22. 22.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  23. 23.A boat goes 95 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (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 24 km upstream and come back?
  25. 25.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  26. 26.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 18 km upstream and come back?
  27. 27.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 64 km upstream and come back?
  28. 28.A boat goes 60 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A boat goes 72 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  30. 30.A boat goes 45 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  31. 31.Two trains, 80 m and 95 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 train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.Two trains, 50 m and 160 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?
  35. 35.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  36. 36.A boat goes 110 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  39. 39.A boat goes 35 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?

Answer key

  1. 31
  2. 15
  3. 210
  4. 10
  5. 19
  6. 19
  7. 2
  8. 14
  9. 125
  10. 9
  11. 25
  12. 6
  13. 210
  14. 21
  15. 12
  16. 18
  17. 7
  18. 575
  19. 26
  20. 8
  21. 300
  22. 17
  23. 17
  24. 7
  25. 280
  26. 4
  27. 40
  28. 8
  29. 1
  30. 3
  31. 5
  32. 8
  33. 28
  34. 6
  35. 18
  36. 5
  37. 27
  38. 26
  39. 6
  40. 44

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