Question

Sarah is training for a bike race. She rides her bike 5 3/4 miles in 1/3 hour.What is Sarah's rate miles per hour?

Answer 1

Answer:17 1/4 miles per hour

Answer 2

Explanation:

Answer:

Sarah's rate is 17
`(1)/(4)` miles per hour.

Explanation:

we can use proportion to solve this;

Let x represent sarah's rate miles per hour

5 3/4 miles = 1/3 hour

x = 1 hour

cross-multiply

5 3/4 = 1/3 x

but 5 3/4 =
`(23)/(4)`

`(23)/(4)` =
`(x)/(3)`

cross- multiply

4x = 23× 3

4x =69

Divide both-side of the equation by 4

`(4x)/(4)` =
`(69)/(4)`

(On the left-hand side of the equation, 4 at the numerator will cancel-out 4 at the denominator while on the right-side of the equation 69 will be divided by 4)

x = 17
`(1)/(4)` miles

Therefore Sarah's rate is 17
`(1)/(4)` miles per hour.