Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 6 - Review - Page 405: 104

Answer

$490 \text{ mph}$

Work Step by Step

Let $x$ be the speed of the car. Then $x+430$ is the speed of the jet. Using $D=rt,$ then for the car, \begin{array}{l}\require{cancel} 210=xt \\ \dfrac{210}{x}=t .\end{array} Using $D=rt,$ then for the jet, \begin{array}{l}\require{cancel} 1715=(x+430)t \\ \dfrac{1715}{x+430}=t .\end{array} Equating the two expressions of $t$ and using the properties of equality, then \begin{array}{l}\require{cancel} \dfrac{210}{x}=\dfrac{1715}{x+430} \\ 210(x+430)=x(1715) \\ 210x+90300=1715x \\ 210x-1715x=-90300 \\ -1505x=-90300 \\ x=\dfrac{-90300}{-1505} \\ x=60 .\end{array} Hence, the speed of the jet, $x+430$, $x,$ is $ 490 \text{ mph} .$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.