Question

(04.01) The Martinez family wall

Answer 1

Question:

The Martinez family walked three over five of a mile in three over eight of an hour. What equation can be used to calculate their unit rate in miles per hour?

Answer:

$\frac{3/5}{3/8} = 1 \frac{3}{5}$ mile per hour

Explanation:

Given

Distance = 3/5 mile

Time = 3/8 hour

Required

Equation to calculate their unit rate in miles per hour?

To get the equation to calculate their unit rate in miles per hour, follow the steps below;

Step 1: Determine what miles per hour represent;

We know that mile is a measure of distance and hour is a measure of time.

The ratio of these two is a measure of speed.

Hence, the question can be interpreted as write an equation to calculate their speed

Step 2: Calculate their speed

We can calculate speed using the following formula

$Speed = \frac{Distance }{Time}$

By Substitution

$Speed = \frac{3/5}{3/8}$

The above expression is the equation that can be used to calculate their unit rate in miles per hour (in other words, their speed)

Solving this expression, we have

$\frac{3/5}{3/8} = \frac{3}{5} / \frac{3}{8}$

Convert division to multiplication

$\frac{3/5}{3/8} = \frac{3}{5} * \frac{8}{3}$

$\frac{3/5}{3/8} = \frac{8}{5}$

Convert to mixed fraction

$\frac{3/5}{3/8} = 1 \frac{3}{5}$

Hence, the expression is $\frac{3/5}{3/8} = 1 \frac{3}{5}$ mile per hour