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 A leaves every 6min shuttle B leaves every 9 min

Respuesta :

basically, we need to find the lowest common multiple of 6 and 9....and that would be 18.

so 18 minutes from 4 p.m. is 4:18 p.m. <===

Answer:

4:18 P.M.

Step-by-step explanation:

An airport offers two shuttles that run on different schedules.

Shuttle A leaves every 6 minutes shuttle B leaves every 9 minutes.

If both shuttles leave the airport at 4:00 P.M.

We will calculate the time of next leave the airport together.

First we will calculate Lowest Common Multiple (LCM) of 6 and 9.

Factors of 6 = 1 × 2 × 3

Factors of 9 =  1 × 3 × 3

LCM = 1 × 3 × 2 × 3 = 18

Therefore, after 18 minutes to 4:00 P.M. that is 4:18 P.M. they next leave the airport together.