One hour after Yolanda started walking from X to Y, a distance of 65 miles, Bob started walking along the same road from Y to X. If Yolandaâs walking rate was 5 miles per hour and Bobâs was 7 miles per hour, how many miles had Bob walked when they met? Choices:
A) 31  B) 32  C) 33  D) 34  E) 35
Let t be the number of hours that Bob had walked when he met Yolanda. Then, when they met, Bob had walked 4t miles and Yolanda had walked 5(t + 1) miles. These distances must sum to 65 miles, so 7t + 5(t + 1) = 65, which may be solved for t as follows   7t + 5(t + 1) = 65   7t + 5t + 5 = 65   12t = 60   T = 5 (hours)   Therefore, Bob had walked 7t = 7(5) = 35 miles when they met. The best answer is 35.
<result>E</result>
One hour after Yolanda started walking from X to Y, a distance of 65 miles, Bob started walking along the same road from Y to X. If Yolandaâs walking rate was 5 miles per hour and Bobâs was 7 miles per hour, how many miles had Bob walked when they met?