Question

Rob can complete his bus route in 4 hours. Joan can complete her bus route in 3 hours. If they both left the terminal at 3:00 am and after each completed route returned to the terminal, determine the next time they would leave the terminal at the same time.

Answer 1

3:00 pm

Explanation:

Given

`Rob = 4\ hrs`

`Joan = 3\ hrs`

`Start\ Time = 3:00\ am`

Required

The next time they leave at the same time

To do this, we first list out the multiples of 4 and 3 (i.e. their time of completing each route)

So, we have:

`Rob: 4, 8, 12, 16, 20...`

`Joan: 3,6,9,12,15,18....`

The least common multiple in the above is:

`Least = 12hrs`

This means that they will meet at the terminal after 12 hours

So, their meeting time is:

`Time = 3:00am + 12\ hrs`

`Time = 3:00\ pm`