Answer:
3:00 pm
Step-by-step explanation:
Given
[tex]Rob = 4\ hrs[/tex]
[tex]Joan = 3\ hrs[/tex]
[tex]Start\ Time = 3:00\ am[/tex]
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:
[tex]Rob: 4, 8, 12, 16, 20...[/tex]
[tex]Joan: 3,6,9,12,15,18....[/tex]
The least common multiple in the above is:
[tex]Least = 12hrs[/tex]
This means that they will meet at the terminal after 12 hours
So, their meeting time is:
[tex]Time = 3:00am + 12\ hrs[/tex]
[tex]Time = 3:00\ pm[/tex]
