kelly, angela, pam riding bikes around 3 mile loop. it takes kelly 15 minutes to complete a loop. it takes angela 18 minutes to complete loop. it takes pam 20 minutes to complete a loop. in how many minutes will kelly and angela arrive at the starting point at the same time?
Kelly takes 6 laps and Angela takes 5 laps so they both meet at the starting point at 90 minuets...1 hour and 30 minuets.
54mimutes
To find out when Kelly and Angela will arrive at the starting point at the same time, we need to determine the least common multiple (LCM) of their loop completion times. The LCM is the smallest number that is divisible by both completion times.
Firstly, let's find the LCM of 15 and 18.
Factors of 15: 1, 3, 5, 15
Factors of 18: 1, 2, 3, 6, 9, 18
From the factors, we see that the common multiples of 15 and 18 are: 18, 36, 54, 72, ...
Therefore, the LCM of 15 and 18 is 90.
Now, let's find the LCM of this result (90) and Pam's loop completion time of 20.
Factors of 20: 1, 2, 4, 5, 10, 20
The common multiples of 90 and 20 are: 180, 360, 540, 720.
So, the LCM of 15, 18, and 20 is 180.
This means that Kelly and Angela will arrive at the starting point at the same time after 180 minutes.