<h2>
Answer:</h2>
<em><u>25.12 seconds</u></em>
<h2>
Step-by-step explanation:</h2>
As we have been given ion the question,
Tangential speed of her brother at the Wooden Horse = 6 m/s
Tangential speed of Sheila = 4 m/s
Radius of merry go round, r = 8 m
Now,
We know that,
v = r.ω
So,
<u>Angular velocity of brother</u> is given by,
And,
<u>Angular velocity of Sheila</u> is given by,
<u>Relative Angular Velocity = 0.75 - 0.5 = 0.25 rad/s.</u>
Therefore, the time taken by Sheila to encounter her brother again is given by,
<em><u>Therefore, Time Taken to encounter again is 25.12 seconds.</u></em>