SOLUTION: Mark made a business trip of 339.5 miles. He averaged 56 mph for the first part of the trip and 57 mph for the second part. If the trip took 6 hours, how long did he travel at ea
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Question 1054145: Mark made a business trip of 339.5 miles. He averaged 56 mph for the first part of the trip and 57 mph for the second part. If the trip took 6 hours, how long did he travel at each rate?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = distance in miles traveled
on the 1st part of the trip
= distance in miles traveled
on the 2nd part of the trip
Let = time in hrs for 1st part of the trip
= time in hrs for the 2nd part of the trip
-----------------------------------------------
Equation for the 1st part:
(1)
Equation for the 2nd part:
(2)
--------------------------------
(2)
Plug (1) into (2)
(2)
(2)
(2)
and
--------------------
He traveled for 2.5 hrs at 56 mi/hr
He traveled for 3.5 hrs at 57 mi/hr
----------------------------------
check:
(1)
(1)
(1) mi
and
(2)
(2)
(2)
(2)
(2) mi
OK
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