Question

Sam bikes at a speed of 12 2/3 mph. How many miles will he cover in 4 1/2 h?

Answer 1

57 miles

Explanation:

We know that

`speed = (distance)/(time)`

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.

`12 (2)/(3) = (distance)/(4 (1)/(2) )`

This implies that:

`distance = 4 (1)/(2) * 12 (2)/(3)`

Let us convert to improper fractions to obtain:

`distance = (9)/(2) * (38)/(3)`

`distance =3 * 19 = 57`

The Sam covers 51 miles in 4.5 hours