Question

Rani completes one round of running a track in 10 minutes and Trisha completes it in 8 minutes.
How long will it take for both to arrive at the starting point together, if they start at the same time
and maintain same speed? (step by step)

Answer 1

Given:

Rani completes one round of running a track in $10$ minutes.

Trisha completes one round of running a track in $8$ minutes.

Rani and Trisha started at the same time and maintain the same speed.

Let us find the L.C.M of $10$ and $8$ minutes.

$10=2\times5$

$8=2\times2\times2$

L.C.M. $(10,8)=2\times5\times2\times2=40$.

Here, Rani and Trisha will meet at the starting point after $40$ minutes.

Hence, it will take $40$ minutes for both Rani and Trisha to arrive at the starting point together.