SOLUTION: Mike's workout consists of jogging for 3 miles and then riding his bike for 5 miles at a speed of 4 miles per hour faster than he jogs. If his total workout time is 1 hour, find hi

Question 1042731: Mike's workout consists of jogging for 3 miles and then riding his bike for 5 miles at a speed of 4 miles per hour faster than he jogs. If his total workout time is 1 hour, find his jogging speed and his biking speed.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = his jogging speed in mi/hr
= his biking speed in mi/hr
Let = his time spent jogging in hrs
= his time spent biking in hrs
-----------------------------------
Mike's equation for jogging:
(1)
Mike's equation for biking:
(2)
---------------------------
(1)
Substitute (1) into (2)
(2)
(2)
(2)
(2)
(2)
(2) ( by inspection )
( speed has to be positive )
and

--------------
Mike's jogging speed is 6 mi/hr
Mike's biking speed is 10 mi/hr
------------------------------
check:
(1)
(1)
(1) hr
and
(2)
(2)
(2)
(2)
(2)
(2) hr
OK
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