Question

Priya jogged for a total of $30$ minutes. Her average speed for the first $10$ minutes was $5$ miles per hour. During the last 20 minutes, she jogged $2.5$ miles. What was the average speed of her entire jog?

• A. $6\frac{1}{2}mph$
• B. $3\frac{1}{3}mph$
• C. $7\frac{1}{2}mph$
• D. $7\frac{1}{3}mph$
• E. $7\frac{2}{3}mph$

Answer 1

The correct option is B $3\frac{1}{3}mph$

Distance traveled in first $10$ minutes is $5\times \frac{1}{6}=\frac{5}{6}$

Distance traveled in next $20$ minutes is $2.5\times \frac{1}{3}=\frac{5}{6}$

Total distance traveled is $\frac{5}{6}+\frac{5}{6}=\frac{5}{3}$

Average speed is $\frac{\frac{5}{3}}{\frac{1}{2}}=\frac{10}{3}$