Question

A neon sign blinks every 6 minutes, and another sign blinks every 8 minutes. How often do they blink at the same time?A.Every 14 minutesb.Every 24 minutesc.Every 48 minutesd.Every 2 minutes

Answer 1

b. Every 24 minutes

Explanation:

A neon sign blinks every 6 minutes, and another sign blinks every 8 minutes.

The first step is to:

Find and list multiples of each time each neon sign blinks.

This means, we find the Multiples of 6 and 8

Multiples of 6:

6, 12, 18, 24, 30, 36

Multiples of 8:

8, 16, 24, 32, 40

The first and common multiple of 6 and 8.

Therefore, the Least common multiple [LCM(6, 8) ] = 24

Hence, they often blink at the same time every 24 minutes.

Therefore, option b.Every 24 minutes is correct.