One hour after Yolanda started walking from X to Y, a distance of 60 miles, Bob started walking along the same road from Y to X. If Yolandaâs walking rate was 5 miles per hour and Bobâs was 6 miles per hour, how many miles had Bob walked when they met? Options
A) 40  B) 25  C) 28  D) 30  E) 30.5
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 60 miles, so 6t + 5(t + 1) = 60, which may be solved for t as follows   6t + 5(t + 1) = 60   6t + 5t + 5 = 60   11t = 55   T = 5 (hours)   Therefore, Bob had walked 6t = 6(5) = 30 miles when they met. The best answer is 30.
<result>D</result>
One hour after Yolanda started walking from X to Y, a distance of 60 miles, Bob started walking along the same road from Y to X. If Yolandaâs walking rate was 5 miles per hour and Bobâs was 6 miles per hour, how many miles had Bob walked when they met?