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two students are running on a circular path. it takes the first student 25 minutes to complete one lap, and it takes the second student 30 minutes to complete one lap. if they both start at the same time and run in the same direction, when will they meet each other at the starting point? 175 minutes 150 minutes 25 minutes 5 minutes

Sagot :

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.

What is least common multiple?

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.

Learn more about least common multiple here

https://brainly.com/question/11533141

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