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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 771 · 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 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  2. 2.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  3. 3.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  6. 6.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  7. 7.A boat goes 60 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)?
  8. 8.Two trains, 80 m and 220 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?
  9. 9.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  10. 10.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  11. 11.Two trains, 60 m and 115 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?
  12. 12.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 63 km upstream and come back?
  13. 13.Two trains, 190 m and 125 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?
  14. 14.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 36 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  17. 17.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  19. 19.Two trains, 110 m and 115 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?
  20. 20.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  21. 21.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 44 km upstream and come back?
  22. 22.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes 75 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes 95 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  27. 27.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  29. 29.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.Two trains, 150 m and 255 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?
  34. 34.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  35. 35.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  36. 36.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  37. 37.A boat goes 28 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A boat goes 42 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  39. 39.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 28 km upstream and come back?
  40. 40.A boat goes 80 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)?

Answer key

  1. 33
  2. 50
  3. 16
  4. 6
  5. 24
  6. 29
  7. 16
  8. 10
  9. 29
  10. 36
  11. 5
  12. 28
  13. 9
  14. 14
  15. 4
  16. 300
  17. 26
  18. 180
  19. 9
  20. 9
  21. 24
  22. 8
  23. 5
  24. 1
  25. 17
  26. 16
  27. 25
  28. 270
  29. 12
  30. 17
  31. 16
  32. 18
  33. 9
  34. 26
  35. 650
  36. 36
  37. 10
  38. 3
  39. 9
  40. 17

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