A person goes to his office at 1/3rd of the speed at which he returns from his office. If the average speed during the whole trip is 12 m /h . what is the speed of the person while he was going to his office?

Q: A person goes to his office at 1/3rd of the speed at which he returns from his office. If the average speed during the whole trip is 12 m /h . what is the speed of the person while he was going to his office?

u = k , v= 3k ∴ 2 u v u + v ⇒ 2 × k × 3 k k + 3 k = 12 => k = 8km/h

10
6
8
can't be determined

Correct Answer: 8

Explanation:

u = k , v= 3k

$∴ \frac{2 u v}{u + v} \Rightarrow \frac{2 \times k \times 3 k}{k + 3 k} = 12$ => k = 8km/h

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