inches per second. However, we are asked to find the speed in miles per hour. To do so we will first convert our speed in inches to miles using a conversion factor.

\frac{1 mile}{6 3 3 6 0 inches}

Multiplying

219.9

inches by this factor will convert it to miles.

219.9 inches \cdot \frac{1 mile}{6 3 3 6 0 inches}

MoveLeftFacToNum

$a \cdot \frac{b}{c} = \frac{a \cdot b}{c}$

\frac{2 1 9 . 9 inches \cdot 1 mile}{6 3 3 6 0 inches}

CrossCommonFac

Cross out common factors

\frac{2 1 9 . 9 inches \cdot 1 mile}{6 3 3 6 0 inches}

SimpQuot

Simplify quotient

\frac{2 1 9 . 9 \cdot 1 mile}{6 3 3 6 0}

IdPropMult

Identity Property of Multiplication

\frac{2 1 9 . 9 miles}{6 3 3 6 0}

UseCalc

Use a calculator

0.003470 \dots miles

Next, we will convert this value in miles per second to miles per hour. To do so we will use the second conversion factor.

\frac{3 6 0 0 seconds}{1 hour}

To get an accurate value, we will multiply

(\frac{2 1 9 . 9}{6 3 3 6 0})

miles per second by the second conversion factor. Let's do it!

\frac{\frac{2 1 9 . 9 miles}{6 3 3 6 0}}{1 second} \cdot \frac{3 6 0 0 seconds}{1 hour}

DivFracD

$\frac{a / c}{b} = \frac{a}{b \cdot c}$

\frac{2 1 9 . 9 miles}{6 3 3 6 0 seconds} \cdot \frac{3 6 0 0 seconds}{1 hour}

MultFrac

Multiply fractions

\frac{2 1 9 . 9 miles \cdot 3 6 0 0 seconds}{6 3 3 6 0 seconds \cdot 1 hour}

CrossCommonFac

Cross out common factors

\frac{2 1 9 . 9 miles \cdot 3 6 0 0 seconds}{6 3 3 6 0 seconds \cdot 1 hour}

SimpQuot

Simplify quotient

\frac{2 1 9 . 9 miles \cdot 3 6 0 0}{6 3 3 6 0 \cdot 1 hour}

Multiply

\frac{7 9 1 6 4 0 miles}{6 3 3 6 0 hours}

UseCalc

Use a calculator

\frac{1 2 . 4 9 4 3 1 8 \dots miles}{1 hour}

RoundDec

Round to $1$ decimal place(s)

\approx \frac{1 2 . 5 miles}{1 hour}

Finally, we found that the scooter's speed is about

12.5

miles per hour.

Exercise

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