SOLUTION: Father can do the job on the farm in 6 hours. The older son can do it in 8 hours. The younger son can do same job in 12 hours. How long will it take them to do the job, if they all

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Father can do the job on the farm in 6 hours. The older son can do it in 8 hours. The younger son can do same job in 12 hours. How long will it take them to do the job, if they all      Log On


   



Question 1058532: Father can do the job on the farm in 6 hours. The older son can do it in 8 hours. The younger son can do same job in 12 hours. How long will it take them to do the job, if they all work together?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of working
Their rates are:
[ 1 job ] / [ 6 hrs ]
[ 1 job ] / [ 8 hrs ]
[ 1 job ] / [ 12 hrs ]
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Let the rate of all 3 working together =
[ 1 job ] / [ t hrs ]
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+1%2F6+%2B+1%2F8+%2B+1%2F12+=+1%2Ft+
Multiply both sides by +24t+
+4t+%2B+3t+%2B+2t+=+24+
+9t+=+24+
+t+=+8%2F3+
+8%2F3+=+2+%2B+2%2F3+ hrs
and
+2%2F3+ hrs = +40+ min
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Working together, they can do the job in 2 hrs 40 min