150 Minutes
We need to find the Lcm of 25 and 30
Student 1 and Student 12 start from the same point, at same time and in same direction. So they meet again after lcm of the times taken by them individually.
What is LCM?
Least common multiple
To get the LCM we have to factorize the numbers,
25=5*5
30=2*5*3
LCM of 25 and 30 is 5*2*3*5 is 150
Therefore in 15 minutes they meet each other at the starting point
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They will meet each other at the starting point again in 150 minutes.
It is required to find the time.
The least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by lcm, is the smallest positive integer that is divisible by both a and b.
Given:
To find the time that passes between the events happening at the same time, we need to find the least common multiple of the periods.
In this problem, the periods are of 25 minutes and 30 minutes, hence the Lcm is found as follows:
They both start at the same time and run in the same direction,
lcm(25,30) = 2 x 3 x 5² = 150 minutes.
So, they will meet each other at the starting point again in 150 minutes.
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