Question

An object moves at the rate of 4 yards in 5min what is this objects rate in inches per hour

Answer 1

We have to find the rate of the object in inches per hour.

We know that it travels 4 yards in 5 minutes.

So we have to express the rate as the quotient of the distance and the time, and add the unit conversions.

We have the distance expressed in yards, so we will use the conversion rate 1 yard = 0.9144 meters.

For the time, we will use the fact that 1 hour = 60 minutes.

Knowing this we can express the rate as:

`\begin{gathered} r=\frac{4\text{ }yd}{5\text{ }min}\cdot\frac{60\text{ }min}{1\text{ }h}\cdot\frac{0.9144\text{ }m}{1\text{ }yd} \\ \\ r=43.8912\text{ }(m)/(h) \end{gathered}`

Answer: the rate is 43.8912 m/h