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Question 45

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 ?

Solution

Let the time traveled by the cyclists be x seconds when they meet.

So, distance covered by cyclist 1 = 7x and

distance covered by cyclist 2 = 8x

So, 7x + 8x = 15x = 300 [When the cyclist meet, they would have covered the whole circumference together.]

x = 20 seconds.

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