Answer:
Step-by-step explanation:
Answer:
Sarah's rate is 17 [tex]\frac{1}{4}[/tex] 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 =[tex]\frac{23}{4}[/tex]
[tex]\frac{23}{4}[/tex] = [tex]\frac{x}{3}[/tex]
cross- multiply
4x = 23× 3
4x =69
Divide both-side of the equation by 4
[tex]\frac{4x}{4}[/tex] = [tex]\frac{69}{4}[/tex]
(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 [tex]\frac{1}{4}[/tex] miles
Therefore Sarah's rate is 17 [tex]\frac{1}{4}[/tex] miles per hour.
