Question

If two radio stations start conmercials at 10am, when will the stations have commercials at the same time? One station plays every 12 minutes the other every 8 minutes.

Answer 1

Answer: If two radio stations start commercials at 10 AM , then at 10:24 AM the stations will have commercials.

Explanation:

Given: One station plays every 12 minutes the other every 8 minutes.

The minimum time at which both stations have commercials = lcm (12 and 8 )

12 = 2 x 2 x 3

8 = 2 x 2 x 2

LCM( 12 and 8)= 2 x 2 x 2 x 3 = 24

The minimum time at which both stations have commercials = 24 minutes

If two radio stations start commercials at 10 AM , then at 10:24 AM the stations will have commercials.