SOLUTION: 1.) Roland takes twice as much time as Michael and thrice as much time as Eze to complete a job. If working together, they can complete the job in 4 days, then the time taken by ea

Algebra ->  Finance -> SOLUTION: 1.) Roland takes twice as much time as Michael and thrice as much time as Eze to complete a job. If working together, they can complete the job in 4 days, then the time taken by ea      Log On


   

Question 1081695: 1.) Roland takes twice as much time as Michael and thrice as much time as Eze to complete a job. If working together, they can complete the job in 4 days, then the time taken by each of them separately to complete the work is?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
R%5BR%5D=R%5BM%5D%2F2
R%5BM%5D=2%2AR%5BR%5D
and
R%5BR%5D=R%5BE%5D%2F3
R%5BE%5D=3%2AR%5BR%5D
.
.
.
Rate x Time = Output
.
.
.
%28R%5BR%5D%2BR%5BM%5D%2BR%5BE%5D%29%284%29=100
R%5BR%5D%2BR%5BM%5D%2BR%5BE%5D=25
Substituting from above,
R%5BR%5D%2B2%2AR%5BR%5D%2B3%2AR%5BR%5D=25
6%2AR%5BR%5D=25
R%5BR%5D=25%2F6
So then,
R%5BM%5D=2%2A%2825%2F6%29
R%5BM%5D=25%2F3
and
R%5BE%5D=3%2A%2825%2F6%29
R%5BE%5D=25%2F2
So then,
R%5BR%5D%2At%5BR%5D=100
t%5BR%5D=100%2F%2825%2F6%29
t%5BR%5D=24days
and
t%5BM%5D=24%2F2
t%5BM%5D=12days
and
t%5BE%5D=24%2F3
t%5BE%5D=8days