if one bus stops at the library every 60 minutes, and the other bus stops at the library every 45 minutes, how long will it take for both buses to be at the library at the same time?
180 min
Becouse:
3 * 6 = 180
4 * 45 = 180
Thanks so much for your help!!
To find out how long it will take for both buses to be at the library at the same time, we need to determine the time interval at which their schedules align.
We can start by finding the least common multiple (LCM) of 60 and 45. The LCM is the smallest multiple that both numbers share evenly.
To find the LCM, we can list out the multiples of each number until we find a common one.
Multiples of 60: 60, 120, 180, 240, ...
Multiples of 45: 45, 90, 135, 180, ...
From the lists, we can see that the least common multiple of 60 and 45 is 180.
Therefore, both buses will be at the library at the same time every 180 minutes.