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Question
Amutha can weave a saree in 18 days. Anjali is twice as good a weaver as Amutha. If both of them weave together, then in how many days can they complete weaving the saree?
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Solution
Amutha can weave a saree in 18 days.
Anjali is twice as good as Amutha.
ie. If Amutha weave for 2 days, Anjali do the same work in 1 day.
If Anjali weave the saree she will take
`18/2` = 9 days
Hence time taken by them together ab
= `"ab"/("a" + "b")` days
= `(18 xx 9)/(18 + 9)`
= `(18 xx 9)/27`
= `(6 xx 1)/3`
= 6 days
In 6 days they complete weaving the saree.
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