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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 613 · 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 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.Two trains, 70 m and 245 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?
  3. 3.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  4. 4.Two trains, 160 m and 120 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?
  5. 5.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 100 km upstream and come back?
  6. 6.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  7. 7.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  8. 8.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 50 m and 150 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?
  11. 11.A boat goes 42 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  12. 12.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?
  13. 13.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  14. 14.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  16. 16.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  18. 18.Two trains, 180 m and 270 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?
  19. 19.Two trains, 160 m and 50 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?
  20. 20.Two trains, 230 m and 100 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?
  21. 21.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 70 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?
  23. 23.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 85 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)?
  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 train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  27. 27.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 105 km upstream and come back?
  28. 28.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 60 km upstream and come back?
  29. 29.Two trains, 100 m and 60 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?
  30. 30.A boat goes 34 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A boat goes 16 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)?
  32. 32.Two trains, 60 m and 160 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?
  33. 33.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 80 km upstream and come back?
  34. 34.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 11 km upstream and come back?
  35. 35.A boat goes 80 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  37. 37.Two trains, 50 m and 90 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?
  38. 38.A boat goes 85 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 50 m and 430 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?

Answer key

  1. 28
  2. 9
  3. 11
  4. 7
  5. 55
  6. 13
  7. 37
  8. 15
  9. 11
  10. 5
  11. 1
  12. 12
  13. 200
  14. 6
  15. 325
  16. 18
  17. 100
  18. 9
  19. 6
  20. 11
  21. 11
  22. 12
  23. 19
  24. 16
  25. 280
  26. 38
  27. 50
  28. 20
  29. 8
  30. 16
  31. 7
  32. 11
  33. 15
  34. 12
  35. 13
  36. 180
  37. 7
  38. 1
  39. 28
  40. 12

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