SOLUTION: June can complete a quilt in 16 days Molly can complete the same quilt in 12 days and Maria can complete the same quilt in 14 days. If the three work together how long will it take

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Question 974182: June can complete a quilt in 16 days Molly can complete the same quilt in 12 days and Maria can complete the same quilt in 14 days. If the three work together how long will it take them to complete the quilt?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
June's rate of working:
[ 1 quilt ] / [ 16 days ]
Molly's rate:
[ 1 quilt ] / [ 12 days ]
Maria's rate:
[ 1 quilt ] / [ 14 days ]
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Let +t+ = time in days for them
to complete the quilt working
together
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Add their rates of working to get rate
working together
----------------
+1%2F16+%2B+1%2F12+%2B+1%2F14+=+1%2Ft+
Multiply both siodes by +2+
+1%2F8+%2B+1%2F6+%2B+1%2F7+=+2%2Ft+
Multiply both sides by +168t+
+21t+%2B+28t+%2B+24t+=+336+
+73t+=+336+
+t+=+4.6027+ days
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Strange number for answer -check my math