Given that the object moves at a rate of 1400 centimeters every 2 minutes, it is important to remember that:
[tex]\begin{gathered} 1\text{ }in=2.54\text{ }cm \\ 1\text{ }min=60\text{ }sec \end{gathered}[/tex]You can determine the rate in centimeters per minute by dividing 1400 centimeters by 2 minutes:
[tex]\frac{1400\text{ }cm}{2\text{ }min}=700\text{ }\frac{cm}{min}[/tex]Now you need to convert it to inches per second. Set up the following:
[tex](700\text{ }\frac{cm}{min})(\frac{1\text{ }in}{2.54\text{ }cm})(\frac{1\text{ }min}{60\text{ }sec})[/tex]Evaluating, you get:
[tex]=\frac{(700)(1)(1)}{(2.54)(60)}[/tex][tex]=\frac{700}{152.4}[/tex][tex]\approx4.59\text{ }\frac{in}{sec}[/tex]Hence, the answer is:
[tex]4.59\text{ }\frac{in}{sec}\text{ \lparen approximately\rparen}[/tex]