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 12 hr, Joe 10 hr, Bill 10 hr
C) Mike 16 hr, Joe 8 hr, Bill 8 hr
D) Mike 8 hr, Joe 16 hr, Bill 8 hr

Question

Quizplus · Accepted Answer

From the given scenarios, we can set up equations based on the work done. Let the work done by Mike, Joe, and Bill per hour be M, J, and B respectively. The total work can be considered as 1 (the whole job). From the given scenarios:1. 4(M + J) + 2B = 12. 2(M + J) + 5B = 13. 6M + 2J + B = 1Solving these equations simultaneously, we find that M = 1/8, J = 1/16, and B = 1/8, which means Mike can complete the work in 8 hours, Joe in 16 hours, and Bill in 8 hours.

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