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Ritu and Mona can finish painting a house together in 18 days. Ritu alone would take 27 days to finish the painting. How long will it take Mona to finish the painting on her own?

A65 days

B60 days

C44 days

D54 days

Answer:

D. 54 days

Read Explanation:

Let the total work be 1 house.

Ritu’s rate = (127)( \frac{1}{27} ) house/day

(Ritu + Mona)’s rate = (118)( \frac{1}{18} ) house/day

So, Mona’s rate:

118127\frac{1}{18} - \frac{1}{27}

LCM of 18 and 27 = 54

=3254=154= \frac{3 - 2}{54} = \frac{1}{54}

So, Mona alone can finish the painting in 54 days.


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