SOLUTION: A car travels for a total of 11 hours. The car averages 75 miles per hour for w hours and averages 60 miles per hour for the rest of the time. Express the total distance traveled b

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Question 1018817: A car travels for a total of 11 hours. The car averages 75 miles per hour for w hours and averages 60 miles per hour for the rest of the time. Express the total distance traveled by the car in terms of w.
Found 2 solutions by fractalier, FrankM:
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Distance is rate times time. In this problem, we have two rates and two times to add together for total distance...notice that if the first time is w, the second has to be 11-w...thus
d = 75w + 60(11-w) = 75w + 660 - 60w = 660 + 15w miles

Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
Driving X miles at 75M/H should be shown as
%28X+miles%29%281+hour%2F75miles%29 as the above will give time as a result, i.e %28X%2F75%29+hours
The rest of the trip was
%28Y+miles%29%281+hour%2F60miles%29 as the above will give time as a result, i.e %28X%2F60%29+hours
and
%28%28X%2F75%29+hours%29%2B%28%28Y%2F60%29+hours%29=W
multiply thru by 300
%28%28300X%2F75%29+hours%29%2B%28%28300Y%2F60%29+hours%29=300W

%284X%29%2B%285Y%29=300W

or
%28%284X%29%2B%285Y%29%29%2F300=W