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?

Respuesta :

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

Answer:

Brent's speed is [tex]\frac{20}{3}\text{ mph}[/tex]

Step-by-step explanation:

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

To find : What is Brent’s speed?      

Solution :

The distance is d=4 miles.

The time taken is [tex]t=\frac{3}{5}[/tex] hour.

Solving the given equation to find s,

[tex]4=\frac{3}{5}s[/tex]

[tex]s=\frac{4}{\frac{3}{5}}[/tex]

[tex]s=\frac{20}{3}[/tex]

Therefore, Brent's speed is [tex]\frac{20}{3}\text{ mph}[/tex]

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