CAT 2020 Slot 2 QA Question 6: Two circular tracks T1 and T2 of radii 100 m and 20 m, respectively touch at a point A. Starting from A at the same time, Ram and Rahim are walking on track T1 and track T2 at speeds 15 km/hr and 5 km

Question

Two circular tracks T1 and T2 of radii 100 m and 20 m, respectively touch at a point A. Starting from A at the same time, Ram and Rahim are walking on track T1 and track T2 at speeds 15 km/hr and 5 km

Accepted Answer

The two circular tracks touch only at A, so Ram and Rahim can meet again only when both are simultaneously at A.

Ram’s track circumference is
$2 \pi 	imes 100 = 200 \pi$
Rahim’s track circumference is
$2 \pi 	imes 20 = 40 \pi$

Their speeds are in the ratio $15 : 5 = 3 : 1$.
In the time Ram compl