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:

Step-by-step explanation:

Answer:

Sarah's rate is 17 $\frac{1}{4}$ miles per hour.

Step-by-step 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 =$\frac{23}{4}$

$\frac{23}{4}$  =  $\frac{x}{3}$

cross- multiply

4x = 23× 3

4x =69

Divide both-side of the equation by 4

$\frac{4x}{4}$ = $\frac{69}{4}$

(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 $\frac{1}{4}$ miles

Therefore Sarah's rate is 17 $\frac{1}{4}$ miles per hour.

Answer 2

Answer:17 1/4 miles per hour