Solve the problem.
-Rachael's bike got a flat tire and she must walk the rest of the way to work. The bike was being ridden at $9 \mathrm{mph}$, and Rachael walks at a speed of $4 \mathrm{mph}$. The distanœ from home to work is $22 \mathrm{mi}$, and the total time for the trip was $3 \mathrm{hr}$. How far did she have to walk?
A) $1 \mathrm{mi}$
B) $18 \mathrm{mi}$
C) $2 \mathrm{mi}$
D) $4 \mathrm{mi}$

Question

Quizplus · Accepted Answer

Rachael's total travel time is 3 hours. Let $x$ be the time she spent biking and $3-x$ the time she spent walking. The distance covered biking is $9x$ miles and walking is $4(3-x)$ miles. The total distance is $22$ miles, so $9x + 4(3-x) = 22$. Solving for $x$ gives $x = 2$, so she walked for $3-2 = 1$ hour. At $4 \mathrm{mph}$, she walked $4 \times 1 = 4$ miles.

Solve the Problem 9mph9 \mathrm{mph}9mph , and Rachael Walks at a Speed Of

Solve the Problem $9 \mathrm{mph}$ , and Rachael Walks at a Speed Of