Question

Betsy can clean a b of the house in an hour. How long will it take her to clean the whole house?

Answer 1

Answer:

$\frac{b}{a}$ is the total time taken to clean the house.

Step-by-step explanation:

Given that:

Betsy cleans $\frac{a}{b}$ of the house.

Time taken = 1 hour

To find:

Time taken to clean the whole house = ?

Solution:

We can use unitary method here to solve this problem.

We are given that $\frac{a}{b}$ of the house is cleaned in 1 hour.

We have to find that a total of 1 house will be cleaned in how much time.

(1 house because Betsy's house can be considered as a single unit).

To find this we will divide 1 hour with $\frac{a}{b}$.

Now, Let us solve this mathematically:

$\frac{a}{b}$ of the house is cleaned in = 1 hour

1 of the house will be cleaned in =  1 hour divided by $\frac{a}{b}$

$\dfrac{1}{\dfrac{a}{b}}\ hours\\\Rightarrow \dfrac{1 \times b}{a}\ hours\\\Rightarrow \dfrac{b}{a}\ hours$

So, the answer is:

$\frac{b}{a}$ is the total time taken to clean the house.