SOLUTION: Felipe jogs for 9 miles and then walks another 9 miles. He jogs 4.5
miles per hour faster than he walks, and the entire distance of 18 miles takes 3 hours. Find the rate at which
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Question 662292: Felipe jogs for 9 miles and then walks another 9 miles. He jogs 4.5
miles per hour faster than he walks, and the entire distance of 18 miles takes 3 hours. Find the rate at which he walks and the rate at which he jogs.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = his time spent jogging in hrs
= his time spent walking in hrs
Let = his speed walking in mi/hr
= his speed jogging
----------
Equation for jogging:
(1)
Equation for walking:
(2)
--------------------
(2)
(2)
(2)
Substitute (2) into (1)
(1)
(1)
(1)
(1)
(1)
(1)
(1)
use quadratic formula
( ignore negative root )
he walks 4.5 mi/hr and jogs 9 mi/hr
check:
(2)
(2)
(2)
(2)
and
(1)
(1)
OK
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