Question 1163452
<br>
The distances out and back are the same; the ratio of speeds is 4:20 = 1:5.<br>
That means the ratio of times at the two speeds is 5:1.<br>
So 1/6 of the total time was spent returning.<br>
1/6 of 8 hours is 8/6 hours, or 4/3 hours.<br>
The distance traveled at 20mph in 4/3 hours is (4/3)*20 = 80/3 miles, or 26 2/3 miles.<br>
ANSWER: 26 2/3 miles<br>
Of course the same answer is obtained by finding how far he travels in 5/6 of the total time at the lower speed:<br>
5/6 of 8 hours is 40/6 hours, or 20/3 hours.
20/3 hours at 4mph is (20/3)(4) = 80/3 miles.<br>