Question

abc are three friends are doing running daily they started at the same time and at the same. pointin the same direction in a circular stadium a complete running in 252 seconds ,b in 308seconds,c in 198 seconds.after what time will they meet again at the starting point ​

Answer 1

Answer:

every 60 seconds

Answer 2

After 46 minutes and 12 seconds they will meet again at the starting point.

Step-by-step explanation:

By the given data we have,

A completes his round in 252 seconds.

B completes his round in 308 seconds.

C completes his round in 198 seconds.

Now take the LCM of the time taken by A, B, C to complete their rounds

i.e., LCM of 252, 308, 198

$252 = 2 \times 2 \times 3 \times 3 \times 7$

$308 = 2 \times 2 \times 7 \times 11$

$198 = 2 \times 3 \times 3 \times 11$

∴ The LCM of 252, 308, 198 is $2 \times 2 \times 3 \times 3 \times 7 \times 11 = 2772$ seconds which is equal to 46 minutes and 12 seconds.

Hence after 46 minutes and 12 seconds they all will meet again at the starting point.