Question

Akbar, Birbal and Chanakya run around a circular track of length 500 m. Akbar and Birbal run with the speeds of 15 m/s and 20 m/s in the same direction respectively and Chanakya being very intelligent run in the opposite direction with a speed of 25 m/s. If all three of them start at the same time, then:

• A. Akbar meets Chanakya more frequently than Birbal does
• B. Akbar and Chanakya meets as frequently as Birbal and Chanakya
• C. Akbar meets Birbal least frequently
• D. Nothing can be concluded
  

Answer 1

The correct option is C Akbar meets Birbal least frequently

Akbar meets Birbal once $\frac{500}{20-15}=100s$
Birbal meets Chanakya once $=\frac{500}{20+25}=11\frac{1}{9}=s$
Akbar meets Chanakya once $=\frac{500}{15+25}=12.5s$