SOLUTION: A trip from Oregon to California includes 280 miles within Oregon where the speed limit is 70 miles per hour and 240 miles within California where the speed limit is 60 miles per h

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Question 1155372: A trip from Oregon to California includes 280 miles within Oregon where the speed limit is 70 miles per hour and 240 miles within California where the speed limit is 60 miles per hour (mph). It should be obvious that the trip will take 8 hours if you drive at the posted speed limits. You can shorten the trip by speeding. You plan to exceed the speed limit in each state by the same percentage, P, of its posted speed limit. (Example: If P=10, you'd drive 77 mph in Oregon and 66 mph in California). Find P, rounded to the nearest tenth of a percent, such that the trip is only 7 hours and 12 minutes.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Think of the percentage instead as in the form of a factor F, to apply to each speed. Expecting to drive 70F in Oregaon and 60F in California then for the given distances to be done in 7 hour 12 minute,

280%2F%287F%29%2B240%2F%2860F%29=7%2612%2F60
Simplify and solve.

4%2FF%2B4%2FF=36%2F5

8%2FF=36%2F5

F=40%2F36

F=10%2F9

highlight%281%2F9%29higher for each speed.
Same as about 11% higher at each speed.