Question 45

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

Solution

Speed of A = 7 m/s and speed of B = 8 m/s

Time taken by A to complete 1 round = $$\frac{300}{7}$$ sec

Time taken by B to complete 1 round = $$\frac{300}{8}$$ sec

=> Meeting at STARTING POINT = L.C.M. $$(\frac{300}{7},\frac{300}{8})$$

= $$\frac{300}{1}=300$$ seconds

=> Ans - (C)

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