Answer:
57 miles
Step-by-step explanation:
We know that
[tex]speed = \frac{distance}{time} [/tex]
We were given that: Sam bikes at a speed of 12⅔ mph.
So we want to find the distance he covers in 4½ hours.
To do this, we need to substitute the speed and time into the equation and solve for distance.
[tex]12 \frac{2}{3} = \frac{distance}{4 \frac{1}{2} } [/tex]
This implies that:
[tex]distance = 4 \frac{1}{2} \times 12 \frac{2}{3} [/tex]
Let us convert to improper fractions to obtain:
[tex]distance = \frac{9}{2} \times \frac{38}{3} [/tex]
[tex]distance =3 \times 19 = 57[/tex]
The Sam covers 51 miles in 4.5 hours
