Question

X completes one round of a running track in 8 minutes and Y completes it in 6 minutes. how long will it take for both to arrive at their starting point together, if they start at the same time and maintain their speed?​

Answer 1

Answer:

X =1

y=1

X complete in=8min

y complete in=6min

X+y=2

8+6=14

14/2=7

they take 7min to arrive at their starting point together

Answer 2

It takes 24 minutes for both to arrive at their starting point together

Solution:

Given that,

X completes one round of a running track in 8 minutes

Y 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

Find LCM of 8 and 6

List all prime factors for each number.

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

Thus, it takes 24 minutes for both to arrive at their starting point together

Learn more:

LCM of 7/15 and 3/25​

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A boy was asked to find the LCM of 3,5,12 and another number.But while calculating,he wrote 21 instead of 12 and yet came with the correct answer.what could be the fourth number?

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