SOLUTION: A and B ca do a job together in 7 days. A is 3/14 times as efficient as B. The same job can be done by A alone in ________.

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Question 770920: A and B ca do a job together in 7 days. A is 3/14 times as efficient as B. The same job can be done by A alone in ________.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +R%5Bb%5D+ = B's rate of working in jobs / days
+R%5Ba%5D+=+%28+3%2F14+%29%2AR%5Bb%5D+
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Together, their rate is ( 1 job ) / ( 7 days )
+R%5Ba%5D+%2B+R%5Bb%5D+=+1%2F7+
+%28+3%2F14+%29%2AR%5Bb%5D+%2B+R%5Bb%5D+=+1%2F7+
+R%5Bb%5D+%2A%28+3%2F14+%2B+1+%29+=+1%2F7+
+%28+17+%2F+14+%29%2AR%5Bb%5D+=+2%2F14+
+17R%5Bb%5D+=+2+
+R%5Bb%5D+=+2%2F17+
and
+R%5Ba%5D+=+%28+3%2F14+%29%2AR%5Bb%5D+
+R%5Ba%5D+=+%28+3%2F14+%29%2A%28+2%2F17+%29+
+R%5Ba%5D+=+3%2F119+
+R%5Ba%5D+=+1%2F39.67+
39 and 2/3 days
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check:
+R%5Ba%5D+%2B+R%5Bb%5D+=+1%2F7+
+3%2F119+%2B+14%2F119+=+17%2F119+
+17+=+17+
OK