Question 1195933
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Both responses from other tutors show a typical formal algebraic solution using the time equation "time going plus time returning equals 9 hours".<br>
Here is a very different way to solve problems like this quickly and easily when the numbers are "nice".<br>
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.<br>
Since the total time was 9 hours, the trip to the beach took 5 hours and the trip back took 4 hours.<br>
The distance to the beach was either 5 hours at 60mph equals 300 miles or 4 hours at 75mph equals 300 miles.<br>
ANSWER: 300 miles<br>