Question

An object moves at a rate of 1400cm every 2 min what is this object rate in inches per sec

Answer 1

Given that the object moves at a rate of 1400 centimeters every 2 minutes, it is important to remember that:

`\begin{gathered} 1\text{ }in=2.54\text{ }cm \\ 1\text{ }min=60\text{ }sec \end{gathered}`

You can determine the rate in centimeters per minute by dividing 1400 centimeters by 2 minutes:

`\frac{1400\text{ }cm}{2\text{ }min}=700\text{ }(cm)/(min)`

Now you need to convert it to inches per second. Set up the following:

`(700\text{ }(cm)/(min))(\frac{1\text{ }in}{2.54\text{ }cm})(\frac{1\text{ }min}{60\text{ }sec})`

Evaluating, you get:

`=((700)(1)(1))/((2.54)(60))`
`=(700)/(152.4)`
`\approx4.59\text{ }(in)/(sec)`

Hence, the answer is:

`4.59\text{ }(in)/(sec)\text{ \lparen approximately\rparen}`