Question

The rate of working of A and B are in the ratio of 2:3. The number of days taken by them to finish the work is in the ratio:

A) 2:3 B) 4:9 C) 3:2 D) 9:4

Answer 1

Given :

• The rate of working of A and B are in the ratio of 2:3.

To find :

• The number of days taken by them to finish the work is in the ratio =?

Step-by-step explanation :

The rates of working of A and B are in the ratio 2 : 3. [Given]

A can do the work in 1 day = 1/2 part

And, B can do the work in 1 day = 1/3 part.

Efficiency is inversely proportional to the time

So, the ratio of time of A and B,

= 1/2 : 1/3

= 1/2 × 3/1

Or 1/2 × 3

= 3/2

So,  the ratio of time of A and B is 3 : 2.

Hence, The number of days taken by them to finish the work are in the ratio, 3 : 2.

Answer 2

$\bf\large{\underline{\underline{Question:-}}}$

The rate of working of A and B are in the ratio of 2:3. The number of days taken by them to finish the work is in the ratio:

$\bf\large{\underline{\underline{Given:-}}}$

• A and B are in the ratio of 2:3.

$\bf\large{\underline{\underline{To\:find:-}}}$

• The number of days taken by them to finish the work is in the ratio=?

$\bf\large{\underline{\underline{Solution:-}}}$

The rate of working A and B are in ratio = 2:3

So,

The ratio of time of A and B is $\tt= \frac{2}{1}:\frac{3}{1}\\\tt= 3:2$

Hence,

The number of days taken by them to finish the work is= 3:2