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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता ८

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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प्रश्न

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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उत्तर

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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Compound Variation
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पाठ 4: Life Mathematics - Exercise 4.5 [पृष्ठ १५१]

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सामाचीर कलवी Mathematics [English] Class 8 TN Board
पाठ 4 Life Mathematics
Exercise 4.5 | Q 7 | पृष्ठ १५१

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