Jane rides her bike to the lake. Going to the lake, she averages 12 mph. On the returntrip, she averages 10 mph. If the roaund tirp takes a total of 5.5 hours, how long doesthe return trip take?

Answered: Jane rides her bike to the lake. Going…

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter8: Rational Expressions And Equations

Section8.8: Solve Uniform Motion And Work Applications

Problem 8.166TI: Victoria jogs 12 miles to the park along a flat trail and then returns by jogging on an 18 mile...

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Question

Jane rides her bike to the lake. Going to the lake, she averages 12 mph. On the return
trip, she averages 10 mph. If the roaund tirp takes a total of 5.5 hours, how long does
the return trip take?

Expert Solution

Step 1

$s o l u t i o n : - l e t d i s t h e o n e w a y d i s \tan c e a v e r a g e s p e e d o f r e t u r n t r i p = 10 m p h t i m e t a k e n f o r t h e r e t u r n t r i p = \frac{d}{10 m p h} h o u r s a v e r a g e s p e e d o f o p p o s i t e o f r e t u r n t r i p = 12 m p h t i m e t a k e n f o r t h e o p p o s i t e o f r e t u r n t r i p = \frac{d}{12 m p h} h o u r s t o t a l t i m e t a k e n f o r t h e r o u n d t r i p = 5.5 h o u r s \frac{d}{10 m p h} h o u r s + \frac{d}{12 m p h} h o u r s = 5.5 h o u r s \frac{22 d}{120} = 5.5 d = \frac{5.5 \times 120}{22} = 30 m i l e s$