Arjun completes one round of a running track in 8 minutes and Aria completes it in 6minutes.How long will it take for bothof them to arrive at their starting point together,if they start at the same time and maintaintheir speed?
Answers
Answer:
Step-by-step explanation:
Given that,
Arjun completes one round of a running track in 8 minutes
Aria completes it in 6 minutes
They start at the same time and maintain their speed
To find: time taken for both to arrive at their starting point together
Which means, we have to find the LCM of 8 and 6
Prime Factorization of 6 is: 2 x 3
Prime Factorization of 8 is: 2 x 2 x 2
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
2, 2, 2, 3
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 2 x 3 = 24
∴ It will takes 24 minutes for both to arrive at their starting point together.
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Sol:- Factors of 8 and 6
8=2x2x2
6=2x3
L.C.M.= 2x2x2x3=24.
So, after 24 Minutes they met at their starting point.