Question

Arun and Barun run with the speeds of 30 m/s and 20 m/s around a circulat track of 600 m. They participate in a 3000 m race. What is the distance covered by Arun when he passes Barun for the 5th time?

• A. 2200 m
• B. 2250 m
• C. 2850 m
• D. None of these

Answer 1

The correct option is D None of these

Time taken by them to meet $=\frac{600}{30-20}=60s$
Time taken to meet $5^{th}$ time = 5 $\times$ 60 = 300 s
Total duration of race $=\frac{3000}{30}=100s$
So, they will not meet $5^{th}$ time in the race of 3000 metre.