SOLUTION: Kenneth made a business trip of 260 260 miles. He averaged 61mph 61 ⁢ mph for the first part of the trip and 46mph 46 ⁢ mph for the second part. If the t

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Question 1115839: Kenneth made a business trip of 260
260
miles. He averaged 61mph
61
⁢
mph
for the first part of the trip and 46mph
46
⁢
mph
for the second part. If the trip took 5
5
hours, how long did he travel at each rate?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Kenneth made a business trip of 260miles.
He averaged 61mph for
the first part of the trip and 46mph
for the second part. If the trip took 5
5 hours, how long did he travel at each rate?
----
1st part DATA:
rate = 61 mph ; time = x hrs ; distance = 61x miles
2nd part DATA
rate = 46 mph ; time = 5-x hrs ; distance = 46(5-x) miles
-----
Equation:
61x + 46(5-x) = 260 miles
------
61x + 230 - 46x = 260
15x = 30
x = 2 hrs at 61 mph
x-5 = 3 hrs at 46 mph
-------------
Cheers,
Stan H.
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