Solve the problem.
-Cindy's bike got a flat tire and she must walk the rest of the way to work. The bike was being ridden at $10 \mathrm{mph}$, and Cindy walks at a speed of $3 \mathrm{mph}$. The distance from home to work is $16 \mathrm{mi}$, and the total time for the trip was $3 \mathrm{hr}$. How far did she have to walk?
A) $1 \mathrm{mi}$
B) $10 \mathrm{mi}$
C) $2 \mathrm{mi}$
D) $6 \mathrm{mi}$

Question

Quizplus · Accepted Answer

Let the distance Cindy rode her bike be $x$ miles. Therefore, the distance she walked is $16 - x$ miles. The time spent biking is $\frac{x}{10}$ hours, and the time spent walking is $\frac{16-x}{3}$ hours. The total time is 3 hours, so we have the equation: $\frac{x}{10} + \frac{16-x}{3} = 3$. Solving this equation for $x$ gives the distance she rode her bike, and subtracting this from 16 gives the distance she walked, which is 6 miles.

Solve the Problem 10mph10 \mathrm{mph}10mph , and Cindy Walks at a Speed Of

Solve the Problem $10 \mathrm{mph}$ , and Cindy Walks at a Speed Of