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How many days are required by Priya to clean the house, if Mona can do it in 5 days and together they can complete in 3 days.
Question

How many days are required by Priya to clean the house, if Mona can do it in 5 days and together they can complete in 3 days.

A.

7.5 days

B.

5.5 days

C.

9 days

D.

12 days

Correct option is A

Given:
Mona can clean the house in = 5 days
Mona + Priya can do it together in = 3 days
Formula Used:
work = time × efficiency
Solution:
Total Work = LCM of 3 and 5 = 15 unit
Efficiency of Mona = 155=3\frac{15}{5} = 3 unit per day
Efficiency of Mona and Priya together = 153=5\frac{15}{3} = 5​ unit per day
Efficiency of Priya = Efficiency of Mona + Priya - efficiency of Mona = 5 - 3 = 2
Time required for Priya to finish work = 152\frac {15}2​ = 7.5 days

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