Question

[30 points] Please give an explanation! Buses to Manchester leave London Victoria bus station every 24 minutes.
Buses to Birmingham leave the same bus station every 20 minutes.
A bus to Manchester and a bus to Birmingham both leave the station at 09.00.
When will a bus to Manchester and a bus to Birmingham next leave the bus
station at the same time?

THANK YOU! :)​

Answer 1

You need to find the least common multiple of 24 and 20.

$24=2^3\cdot3\\20=2^2\cdot5\\\\\text{lcm}(20,24)=2^3\cdot 3\cdot 5=120$

120 min = 2 h

9:00 + 2:00=11:00

So, the answer is at 11:00