CAT 2020 Slot 3 QA Question & Solution
ArithmeticMedium
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?
Options
4.8
4.6
5.2
4.2
Solution
Anil and Sunil will meet at a first point after LCM ( $\frac{3}{15},\frac{3}{10}$) = 3/5 hr
In the mean time, distance travelled by ravi = 8 * 3/5 = 4.8 km