Question

The speed s that Brent can ride his bike if he rides 3 − 5 of an hour and travels 4 miles is given by the equation 4 = 3 − 5 s. What is Brent’s speed?

Answer 1

Answer:

Brent's speed is $\frac{20}{3}\text{ mph}$

Step-by-step explanation:

Given : The speed s that Brent can ride his bike if he rides $\frac{3}{5}$ of an hour and travels 4 miles is given by the equation $4=\frac{3}{5}s$

To find : What is Brent’s speed?      

Solution :

The distance is d=4 miles.

The time taken is $t=\frac{3}{5}$ hour.

Solving the given equation to find s,

$4=\frac{3}{5}s$

$s=\frac{4}{\frac{3}{5}}$

$s=\frac{20}{3}$

Therefore, Brent's speed is $\frac{20}{3}\text{ mph}$

Answer 2

His speed is 6 2/3 mi/hr.

Our equation is 4 = 3/5s; to solve this, we want to divide both sides by 3/5:

4 ÷ 3/5 = (3/5s) ÷ 3/5
4/1 ÷ 3/5 = s
4/1 × 5/3 = s
20/3 = s
6 2/3 = s