Question

At $6:30,$ Devon left her house and rode her bike on the flat road until $7:30$. Then she started riding uphill and rode until $8:00$. She rode a total of $15$ miles. Her speed on the flat road was three miles per hour faster than her speed going uphill. Find Devon’s speed on the flat road and riding uphill.

Short answer

Devon's speed on the flat road and riding uphill is $11mph$and $8mph$.

Step-by-step solution

Step 1. Given information.

Consider the given question,

Total distance Devon traveled is $15$miles.

Step 2. Make the table.

Assume speed of Devon on the flat hill to be x and riding uphill to be y.Then,

$x=3+y$

Make the table,

Step 3. Form the equation.

Consider the table, we can say,

$$\begin{gathered} 3+y+\frac{1}{2}y=15 \\ \frac{3}{2}y=12 \\ y=12\times \frac{2}{3} \\ y=8mph \end{gathered}$$

Then,

$$\begin{gathered} x=3+8 \\ x=11mph \end{gathered}$$