Question

radius of a circular track is 63m two cyclist surjit and Jacob start together from same position at the same time and in the same direction with speeds 33m per min and 44m per min after how many minutes will they meet at the starting point again ?
PL dont refer to any link......I want the answer to my question.
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Answer 1

Perimeter =2pi*r= 2*22/7*63 = 396m

Time taken by Sujit to complete one round = 396/33
= 12min

Time taken by Jacob to complete one round = 396/44
= 9min

They will meet at the starting point after LCM(12,9) = 36min

You can see that after 36min Sujit completes 3 rounds and Jacob completes 4 rounds.

Answer 2

↑ Here is your answer ↓ _____________________________________________________________ _____________________________________________________________

Circumference of the circular track,

$= 2 \pi r$

$= 2 * 22/7 * 63$

$= 2 * 22 * 9$

$= 396m$

Surjit covers 33 meters in one minute,

$396/33 = 12$

He covers 396 meters in 12 minutes

Jacob covers 44 meters in one minute,

$396/44 = 9$

So, he covers 396 meters in 9 minutes

Find the LCM of 9 and 12,

$9 = 3*3$

$12 = 3*2*2$

LCM 

$= 3^2 * 2^2$

$= 9*4$

$= 36$ minutes