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Question

Quantitative Aptitude Question on Time Speed and Distance

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?

A

4.2

B

5.2

C

4.8

D

4.6

Answer

4.8

Explanation

Solution

The correct answer is (C): 4.84.8
Time taken by Anil and Sunil meet at the starting point = LCM(315,310)=35LCM \bigg(\frac{3}{15},\frac{3}{10}\bigg)=\frac{3}{5}
Distance run by Ravi in 35\frac{3}{5} hours = (35)×8=245\bigg(\frac{3}{5}\bigg)×8 = \frac{24}{5} = 4.84.8 kmkm