Security A rounds every 2 minutes and 20 seconds in the gate 1. Security B rounds every 1 minute and 40 seconds in the gate 2. If they conduct rounds at the same time. After how many minutes they will rounds together again?

Step-by-step explanation:

Given

Required

After how many minutes, will they round together

First, convert the given time to minutes

So, we have:

List out the multiples of the time of both security personnel take round.

In the above lists, the common time is:

This implies that they go on round after

7

step-by-step explanation: