Question

A vehicle travels half the distance with speed θ and the remaining distance with speed 2θ. its average speed is

• A. \(\frac{3\theta}{3}\)
• B. \(\frac{\theta}{3}\)
• C. \(\frac{2\theta}{3}\)
• D. \(\frac{4\theta}{3}\)

Answer 1

The Correct Option is D

\(\theta_{avg}=\frac{2\theta_1 \theta_2}{\theta_1+\theta_2}\)

\(\theta_{avg}=\frac{2(\theta)(2\theta)}{\theta+2\theta}\)

\(\theta_{avg}=\frac{4\theta^2}{3\theta}\)

\(\theta_{avg}=\frac{4\theta}{3}\)

So, the correct option is (D): \(\frac{4\theta}{3}\)