One hour after Yolanda started walking from X to Y, a distance of 40 miles, Bob started walking ...
One hour after Yolanda started walking from X to Y, a distance of 40 miles, Bob started walking along the same road from Y to X. If Yolandaâs walking rate was 2 miles per hour and Bobâs was 4 miles per hour, how many miles had Bob walked when they met?
Answer/Solution
25.32
Steps/Work
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 2(t + 1) miles. These distances must sum to 40 miles, so 4t + 2(t + 1) = 40, which may be solved for t as follows
4t + 2(t + 1) = 40
4t + 2t + 2 = 40
6t = 38
T = 6.33 (hours)
Therefore, Bob had walked 4t = 4(7.6) = 25.32 miles when they met. The best answer is E.
4t + 2(t + 1) = 40
4t + 2t + 2 = 40
6t = 38
T = 6.33 (hours)
Therefore, Bob had walked 4t = 4(7.6) = 25.32 miles when they met. The best answer is E.