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Navya rates of work is 60% more than that of her brother if Navya and her brother work together (a) what fraction of the work is done by Navya (b) in how many days will a piece of work be completed if number alone can do it in 65 days


Simran 27th Mar, 2020
Answer (1)
Sai Sri Nandan Ch 27th Mar, 2020

Hello,

Let the amount of work done by brother in one day be x.

So, work done by Navya in one day is 1.6x.

So, amount of work done in one day together is x + 1.6x = 2.6x

(i) Therefore, fraction of work done by Navya is 1.6x / 2.6x = 0.61 or 61%

(ii) If Navya alone can complete work in 65 days, then total work is = 1.6x * 65 =104x.

If both of them work together, number of days taken is = 104x / 2.6x = 40 days.

Hope this helps.

Comment for more clarification.

Thanks.

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