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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 227 · 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 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  2. 2.Two trains, 70 m and 245 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?
  3. 3.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  4. 4.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  5. 5.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  6. 6.A boat goes 80 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  8. 8.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.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 110 km upstream and come back?
  10. 10.Two trains, 250 m and 245 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?
  11. 11.Two trains, 100 m and 110 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?
  12. 12.Two trains, 200 m and 75 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  13. 13.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  14. 14.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.Two trains, 210 m and 90 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?
  17. 17.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  18. 18.A boat goes 36 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.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?
  20. 20.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 60 m and 390 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?
  22. 22.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  23. 23.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  24. 24.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  25. 25.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  26. 26.A boat goes 69 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  28. 28.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  29. 29.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 72 km upstream and come back?
  31. 31.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  33. 33.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  34. 34.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  35. 35.A boat goes 60 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.Two trains, 50 m and 160 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?
  37. 37.A boat goes 85 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  39. 39.A boat goes 42 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  40. 40.Two trains, 200 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?

Answer key

  1. 24
  2. 7
  3. 32
  4. 250
  5. 33
  6. 15
  7. 28
  8. 11
  9. 32
  10. 11
  11. 6
  12. 11
  13. 14
  14. 16
  15. 9
  16. 10
  17. 36
  18. 10
  19. 18
  20. 19
  21. 10
  22. 33
  23. 25
  24. 270
  25. 12
  26. 3
  27. 27
  28. 400
  29. 27
  30. 18
  31. 13
  32. 240
  33. 21
  34. 600
  35. 19
  36. 7
  37. 5
  38. 35
  39. 4
  40. 10

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