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

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 2

Brent's speed is
`(20)/(3)\text{ mph}`

Explanation:

Given : 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`

To find : What is Brent’s speed?

Solution :

The distance is d=4 miles.

The time taken is
`t=(3)/(5)` hour.

Solving the given equation to find s,

`4=(3)/(5)s`

`s=(4)/((3)/(5))`

`s=(20)/(3)`

Therefore, Brent's speed is
`(20)/(3)\text{ mph}`