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12. identify repeated reasoning an airport offers two shuttles that run…

Question

  1. identify repeated reasoning an airport offers two shuttles that run on different schedules. if both shuttles leave the airport at 4:00 p.m., at what time will they next leave the airport together?

shuttle schedule
shuttle\tdeparts
a\tevery 6 minutes
b\tevery 9 minutes

Explanation:

Step1: Find LCM of 6 and 9

Prime factors: $6=2\times3$, $9=3^2$. LCM is $2\times3^2=18$

Step2: Add LCM to start time

Start time: 4:00 P.M. Add 18 minutes.

Answer:

4:18 P.M.