Question

A woman when working with her takes 2 hours to complete the housework, and takes 3 hours when working alone How long would it take the daughter to complete the housework if working alone?

A) 6 hours
B) 2 hours
C) 4 hours
D) 9 hours
E) 0 hours

Answer 1

6 hours for daughter alone Answer A

Explanation:

Rate of mom to clean one house = 1 house /3 hrs = 1/3

rate of daughter = 1/x

Now find the time to clean one house with their combined rates for one house

1 / (1/3 + 1/x ) = 2 hrs

1/3 + 1/x = 1/ 2

x + 3 = 3/2 x

3 = 1/2 x

x = 6 hrs daughter alone

Answer 2

The answer is B A trust