document.write( "Question 1195933: You and your roommate decided to take a road trip to the beach one weekend. You drove all the
\n" ); document.write( "way to the beach at an average speed of 60 miles per hour. Your roommate drove all the way back
\n" ); document.write( "(on the same route, but with no traffic) at an average rate of 75 miles per hour. If the round trip
\n" ); document.write( "drive took a total of 9 hours, how many miles was the trip to the beach?
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Algebra.Com's Answer #828566 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "Both responses from other tutors show a typical formal algebraic solution using the time equation \"time going plus time returning equals 9 hours\".

\n" ); document.write( "Here is a very different way to solve problems like this quickly and easily when the numbers are \"nice\".

\n" ); document.write( "The distances both directions are of course the same; the ratio of speeds is 60:75 = 4:5; that means the ratio of times at the two speeds is 5:4.

\n" ); document.write( "Since the total time was 9 hours, the trip to the beach took 5 hours and the trip back took 4 hours.

\n" ); document.write( "The distance to the beach was either 5 hours at 60mph equals 300 miles or 4 hours at 75mph equals 300 miles.

\n" ); document.write( "ANSWER: 300 miles

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