Get comprehensive solutions to your problems with IDNLearn.com. Get the information you need from our community of experts who provide accurate and thorough answers to all your questions.

Flying against the wind a jet travels 7740 miles in 9 hours. Flying with the wind the same jet travels 4000 80 miles in 3 hours. What is the rate of the jet in still air and what is the rate of the wind?

Sagot :

[tex]j\ \rightarrow\ the\ rate\ of\ the\ jet\ in\ still\ air \\w\ \rightarrow\ the\ rate\ of\ the\ wind\\\\j-w= \frac{\big{7740\ miles}}{\big{9\ hours}}\ \ \ \Rightarrow\ \ \ j-w=860\ \frac{miles}{ hour}\\\\ j+w= \frac{\big{4080\ miles}}{\big{3\ hours}}\ \ \ \Rightarrow\ \ \ j+w=1360\ \frac{miles}{ hour}\\----------\\\\2j=(860+1360)\ \frac{miles}{ hour}\ \ \ \Rightarrow\ \ \ 2j=2220\ \frac{miles}{ hour}\ \ \ \Rightarrow\ \ \ j=1110\ \frac{miles}{ hour}[/tex]

[tex]j+w=1360\ \frac{miles}{ hour}\ \ \ \Rightarrow\ \ \ w=(1360}-1110)\ \frac{miles}{ hour}=250\ \frac{miles}{ hour}\\\\\\Ans.\ the\ rate\ of\ the\ jet\ in\ still\ air\ is\ 1110\ \frac{mi}{hr} \ \ \ \\\\.\ \ \ \ \ \ and\ \ \ the\ rate\ of\ wind\ is\ 250\ \frac{mi}{hr}[/tex]