Solve.
-Mike, Joe, and Bill are painting a fence. The painting can be finished if Mike and Joe work together for 4 hours and Bill works alone for 2 hours or if Mike and Joe work together for 2 hours and Bill works alone for 5 hours, Or if Mike works alone for 6 hours, Joe works alone for 2 hours, and Bill works alone for 1 hour. How much time Does it take for each man working alone to complete the painting?
A)Mike 8 hr, Joe 8 hr, Bill 16 hr
B)Mike 8 hr, Joe 16 hr, Bill 8 hr
C)Mike 12 hr, Joe 10 hr, Bill 10 hr
D)Mike 16 hr, Joe 8 hr, Bill 8 hr

Question

Quizplus · Accepted Answer

Let the work done by Mike, Joe, and Bill in one hour be $m$, $j$, and $b$ respectively. The total work can be represented as 1 (a complete job). From the given scenarios:1. $4(m + j) + 2b = 1$2. $2(m + j) + 5b = 1$3. $6m + 2j + b = 1$Solving these equations simultaneously, we find that $m = \frac{1}{8}$, $j = \frac{1}{16}$, and $b = \frac{1}{8}$, which means Mike and Bill can each complete the job in 8 hours, while Joe takes 16 hours.

Solve. -Mike, Joe, and Bill Are Painting a Fence. the Painting