Question

Two cyclists start on a circular track from a given point but in opposite directions with speeds of 7 m/sec and 8 m/sec respectively.If the circumference of the circle is 300 metres after what time will they meet at the starting point ?

• A. 100 sec
• B. 20 sec
• C. 300 sec
• D. 200 sec

Answer 1

Answer: (B)

20 sec

Answer 2

Let's the time traveled by the cyclists be $x$ seconds when they meet.
So, the distance covered by (cyclist 1) $=7x$
the distance covered by (cyclist 2) $=8x$
circumference $=300$
From the above information we get,
$7x+8x=300$ [As when the cyclist meet, they would have covered the whole circumference together.]

$15x=300$

$x=\frac{300}{15}$

$x=20$ seconds.
The correct option is (B)