SOLUTION: Peter drove a distance of 189 miles. Part of the time he averaged 65 miles per hour, and for the remaining time, he averaged 55 miles per hour. The entire trip took 3 hours. How lo

Question 690247: Peter drove a distance of 189 miles. Part of the time he averaged 65 miles per hour, and for the remaining time, he averaged 55 miles per hour. The entire trip took 3 hours. How long did he travel at each rate?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the distance traveled at mi/hr
= the distance traveled at mi/hr
Let = his time spent traveling at mi/hr
= his time spent traveling at mi/hr
------------------
Equation for mi/hr:
(1)
Equation for mi/hr:
(2)
-------------------------
(2)
Substitute (1) into (2)
(2)
(2)
(2)
(2)

He spent 2 hrs and 24 min traveling at mi/hr
He spent 36 min traveling at mi/hr
check answer:
(2)
(2)
(2)
(2)
(2)
and
(1)
(1)
(1)
OK

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