SOLUTION: Homer and Mike were replacing the boards on Mike's old deck. Mike can do the job alone in 1 hour less time than Homer. They worked together for 7 hours until Homer had to go ho

Question 1165433: Homer and Mike were replacing the boards on Mike's old deck. Mike can do the job alone in 1 hour less time than Homer. They worked together for 7 hours until Homer had to go home. Mike finished the job working by himself in an additional 6 hours. How long would it have taken Homer to fix the deck himself?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

           TIME Alone, hours             RATE in job per hour
Homer        x                           1/x
Mike        x-1                          1/(x-1)
Together                                 1/x+1/(x-1)

Following the description,

Simplify and solve.

The work omitted here but Homer's time if working alone, x, appears to be about 20.66 hours or 20 hours 40 minutes.
RELATED QUESTIONS
Homer and Mike were replacing the boards on Mike's old deck. Mike can do the job alone (answered by VFBundy)

Homer and Mike were replacing the boards on Mike's old deck. Mike can do the job alone (answered by josgarithmetic,Shin123)

Homer and Mike were replacing the boards on Mike's old deck. Mike can do the job alone (answered by josgarithmetic)

Homer and Mike were replacing the boards on Mike's old deck. Mike can do the job... (answered by josgarithmetic)

Homer and Mike were replacing the boards on Mike's old deck. Mike can do the job alone in (answered by josgarithmetic,lwsshak3)

Homer and Mike we’re replacing the boards on mikes old deck. Mike can do the job alone... (answered by josgarithmetic)

mike can do a job alone in 1 hour less than homer, together they work 3 hours, homer goes (answered by josgarithmetic)

Mike and John can do a job together in 12 days. After John has worked alone 26 days,... (answered by scott8148)

Working together, Brad and Mike can complete a job in 3 hours. If it takes mike 5 hours... (answered by stanbon)

SOLUTION: Homer and Mike were replacing the boards on​ Mike's old deck. Mike can do the job alone in 1 hour less time than Homer. They worked together for 7 hours until Homer had to go ho

SOLUTION: Homer and Mike were replacing the boards on Mike's old deck. Mike can do the job alone in 1 hour less time than Homer. They worked together for 7 hours until Homer had to go ho