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Navya and Bhavya can paint a house in 20 days and 30 days, respectively. If they work on alternate days, starting with Bhavya, in how many days can th
Question

Navya and Bhavya can paint a house in 20 days and 30 days, respectively. If they work on alternate days, starting with Bhavya, in how many days can the duo complete painting that house?

A.

40 days

B.

12 days

C.

48 days

D.

24 days

Correct option is D

Given:

Time taken by Navya to paint the house = 20 days

Time taken by Bahvya to paint the house = 30 days

Formula Used:

Let total work be 1.

Then work done 1 day =1Total work\frac{1}{Total\ work}​​

Solution:

Work done by Navya in one day =120 \frac{1}{20}​​

Work done by Bhavya in one day =130 \frac{1}{30}​​

Work done by both Navya and Bahvya in two days working alternatively

=130+120=2+360=560=112 \frac{1}{30} + \frac{1}{20} = \frac{2+3}{60} =\frac{5}{60} = \frac{1}{12}​​

Total time taken to complete the work = 12×112=112 \times \frac{1}{12} = 1​​

Days required =12×2 12 \times 2​ = 24 days

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