Question

Ajay and Arun start running simultaneously from the diametrically opposite ends of a circular track towards each other at 15km/h and 25km/h respectively. After every 10 minutes their speed reduces to half of their current speeds. If the length of the circular track is 1500 m, how many times will Ajay and Arun meet on the track?

• A. 6
• B. 9
• C. 11
• D. 7
• E. 8

Answer 1

The correct option is B

9

$40(1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}....)=13.33$

They cover a distance of 750 m for the first time they meet, and subsequently cover a distance of 1500 m each time they meet, hence

$1500\times 8+750=12750$ , which is lesser than 13,333.33.

Hence they meet 9 times.