Question

The ratio of the capacity to do work of a and b is 3 : 2. if they together can complete a work in 18 days, then how long does a take to complete the work alone?

Answer 1

30 days will a take to complete full work. take a look at picture.

Answer 2

Answer:

A can complete the work alone is 30 days.

Step-by-step explanation:

It is given that ratio of the capacity to do work of a and b is 3 : 2.

They together can complete the the work in 18 days.

Let the efficiency of a and b are 3x and 2x respectively.

The sum of their efficiency is

$3x+2x=5x$

$Efficiency=\frac{Work}{Time}$

$5x=\frac{Work}{18}$

$Work=5x\times 18=90x$

Total work is 90x.

The efficiency of a is 3x and the total work is 90x.

$3x=\frac{90x}{Time}$

$Time=\frac{90x}{3x}=30$

Therefore a can complete the work alone is 30 days.