Question 1040482
A,B AND C CAN COMPLETE A WORK IN 12,15 AND 24 DAYS RESPECTIVELY.A DOES THE WORK FOR 3 DAYS AND LEAVE,AFTER THAT B DOES THE WORK FOR 15 DAYS AND HE ALSO LEAVE IT.THEN IN HOWMANY DAYS DOES THE C COMPLETE THAT REMAINING WORK?


A, B, and C can do a JOB in 12, 15, and 24 days, respectively.  A does some of a job for 3 days and leaves.  After that, B does some of the job for 15 days and he also leaves.  In how many days does C perform the rest of this job to complete it?


RT=J is a basic work rates rule relating rate, time, and amount of jobs or job.  You usually want to use work rate in the dimensional unit {{{JOB/TIME}}}.  Your specific unit would be {{{JOB/DAY}}}.



Let t be the unknown number of days for C to finish the ONE JOB.


{{{highlight_green((1/12)*3+(1/15)*15+(1/24)*t=1)}}}
Solve for t.