SOLUTION: If M,K,L can do a work in 4, 6 , and 8 hours; if they work simultaneously then what fraction of work is done by the M?

Algebra ->  Equations -> SOLUTION: If M,K,L can do a work in 4, 6 , and 8 hours; if they work simultaneously then what fraction of work is done by the M?      Log On


   



Question 880578: If M,K,L can do a work in 4, 6 , and 8 hours; if they work simultaneously then what fraction of work is done by the M?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
M does ( 1 job ) / ( 4 hrs )
K does ( 1 job ) / ( 6 hrs )
L does ( 1 job ) / ( 8 hrs )
-----------------------------
Add their rates of working to
get their rate working together
+1%2F4+%2B+1%2F6+%2B+1%2F8+=+1%2Ft+
Multiply both sides by +24t+
+6t+%2B+4t+%2B+3t+=+24+
+13t+=+24+
+t+=+24%2F13+
---------------------
Together, they take +24%2F13+ hr
to do 1 job
+%281%2F4%29%2A%28+24%2F13+%29+=+6%2F13+
For K:
+%281%2F6%29%2A%28+24%2F13+%29+=+4%2F13+
For L:
+%281%2F8%29%2A%28+24%2F13+%29+=+3%2F13+
M does 6/13 of the work
check:
+6%2F13+%2B+4%2F13+%2B+3%2F13+=+13%2F13+
OK