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

The Correct Option is B

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)