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Two airport shuttle trains leave the main station at the same time.

Shuttle A returns to the station every 8 minutes.

Shuttle B returns to the station every 10 minutes.


In how many minutes will Shuttles A and B leave the station together for the second time?

A. 10 minutes
B. 80 minutes
C. 40 minutes
D. 18 minutes


Please show your work

Answer :

ABIDEMIOKINGO

Shuttles A and B will leave the station together for the second time after 40 minutes

Given the following

  • Time that Shuttle A returns to the station = 8 minutes
  • Time that shuttle B returns to the station = 10 minutes

Shuttles A and B will leave the station together for the second time at;

Looking for the LCM of 8 and 10

8  = 2 * 2 * 2

10 = 2 * 5

LCM = 2 * 2 * 2 * 5

LCM = 8 * 5

LCM = 40 minutes

Hence Shuttles A and B will leave the station together for the second time after 40 minutes

Learn more on LCM  here: https://brainly.com/question/16054958

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