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CAT 2020 Quant Question [Slot 3] with Solution 13

Question

Anil, Sunil, and Ravi run along a circular path of length 3 km, starting from the same point at the same time, and going in the clockwise direction. If they run at speeds of 15 km/hr, 10 km/hr, and 8 km/hr, respectively, how much distance in km will Ravi have run when Anil and Sunil meet again for the first time at the starting point?

  1. 4.2
  2. 5.2
  3. 4.8
  4. 4.6
Option: 3
Solution:

Time taken by Anil and Sunil meet at the starting point \( = LCM\left( {\frac{3}{{15}},\frac{3}{{10}}} \right) = 3/5\)

Distance run by Ravi in \(3/5\) hours \( = (3/5) \times 8 = 24/5\)=4.8 km

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