SOLUTION: Michael was hauling a wide load out of Portland. AT 6:00am he headed north from exit 34 at an average speed of 30mph. Ruth headed north from the same exit at 10:00am in her Pontiac

Question 764730: Michael was hauling a wide load out of Portland. AT 6:00am he headed north from exit 34 at an average speed of 30mph. Ruth headed north from the same exit at 10:00am in her Pontiac. By 2:00pm the same day Ruth was 16 miles ahead of Micheal. What was Ruth's average speed?
Thank you for helping me solve this. I really appreciate it.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
What was Michael's head start in miles?
He had a hr head start ( 6AM to 10AM )

miles head start
----------------
Ruth leaves the same exit and
hrs later, ( 10AM to 2PM ), she is mi
ahead of michael
------------------
Let = distance Ruth travels from 10AM to 2 PM
= distance Michael travels from 10AM to 2 PM
Let = Ruth's average speed
------------------
Ruth's equation:
(1)
Michael's equation:
(2)
-------------------------
(2)
(2)
and
(1)
(1)
(1)
Ruth's average speed is 64 mi/hr
check:
Michael should go mi
in hrs

mi
OK

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