Question

Rahul takes 24 min to complete 1 round of circular track while sahil takes 18 min for the same suppose they both start at the same time for the same point and go in the same direction after how many min will they again meet at the starting point​

Answer 1

(72 minutes) is the homogeneous mixture

Answer 2

Rahul and sahil will again meet after 72 minutes at the starting point

Solution:

Given that,

Rahul takes 24 min to complete 1 round of circular track

Sahil takes 18 min for the same

We have to find the minutes will they again meet at the starting point​

Find LCM of 24 and 18

List all prime factors for each number.

Prime Factorization of 18 is:  2 x 3 x 3

Prime Factorization of 24 is:  2 x 2 x 2 x 3

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, 3

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 3 x 3 = 72

Thus, they will again meet after 72 minutes at the starting point

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