SOLUTION: If one man cuts a load of wood in 6 hours and another cuts a load of wood in 5 hours how much wood can both men cut together

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If one man cuts a load of wood in 6 hours and another cuts a load of wood in 5 hours how much wood can both men cut together      Log On


   

Question 984558: If one man cuts a load of wood in 6 hours and another cuts a load of wood in 5 hours how much wood can both men cut together
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of cutting to get
their rate cutting together
[ 1 load of wood ] / [ 6 hrs ] = +1%2F6+
[ 1 load of wood ] / [ 5 hrs ] = +1%2F5+
[ 1 load of wood ] / [ t hrs ] = +1%2Ft+
+1%2F6+%2B+1%2F5+=+1%2Ft+
Multiply both sides by +5%2A6%2At+
+5t+%2B+6t+=+5%2A6+
+11t+=+30+
+t+=+30%2F11+
+t+=+2.727+ hrs
+.727%2A60+=+43.6+
Together they can cut 1 load of wood
in 2 hrs 43.6 min
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check:
+1%2F6+%2B+1%2F5+=+1%2Ft+
+.1667+%2B+.2+=+1%2F2.727+
+.3667+=+.3667+
OK