Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

10. a runner completes a race in 45 minutes and covers a distance of 10…

Question

  1. a runner completes a race in 45 minutes and covers a distance of 10 kilometers. calculate the runners speed.

Explanation:

Step1: Convert time to hours

Since 1 hour = 60 minutes, 45 minutes = $\frac{45}{60}= 0.75$ hours.

Step2: Use speed - distance formula

The formula for speed $v$ is $v=\frac{d}{t}$, where $d$ is distance and $t$ is time. Given $d = 10$ km and $t=0.75$ h, then $v=\frac{10}{0.75}=\frac{10}{\frac{3}{4}}=\frac{40}{3}\approx13.33$ km/h.

Answer:

$\frac{40}{3}$ km/h or approximately 13.33 km/h