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 ?

Updated On: Jan 30, 2025
  • 100 sec
  • 20 sec
  • 300 sec
  • 200 sec
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The Correct Option is B

Solution and Explanation

Let's the time traveled by the cyclists be xx seconds when they meet.
So, the distance covered by (cyclist 1) =7x=7x
the distance covered by (cyclist 2) =8x=8x
circumference =300=300
From the above information we get,
7x+8x=3007x+8x=300 [As when the cyclist meet, they would have covered the whole circumference together.]

15x=30015x=300

x=30015x=\frac{300}{15}

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

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