Question

Working together Neil and Andy can complete a piece of work in 10 days and Neil can complete the
same piece of work alone in 12 days In how many days can Andy complete the same task alone?​

Answer 1

Answer:

Neil and Andy=10 days. 1/10

Neil alone= 12 days 1/12

Andy alone= ?

1/A+1/B= 1/A+B

1/12+1/B=1/10

1/B= 1/10-1/12

1/B = 1/60

B= 60

hence Andy complete the same task alone in 60 days

Answer 2

Given,

The number of days in which Neil and Andy completed the work$\[ = 10\]$

The number of days in which Neil completed the work$\[ = 12\]$

Solution,

Assume that Andy completed the work in x days.

Therefore,

$\[\begin{array}{l} \Rightarrow \frac{1}{x} + \frac{1}{{12}} = \frac{1}{{10}}\\ \Rightarrow \frac{1}{x} = \frac{1}{{10}} - \frac{1}{{12}}\\ \Rightarrow \frac{1}{x} = \frac{{12}}{{120}} - \frac{{10}}{{120}}\\ \Rightarrow \frac{1}{x} = \frac{2}{{120}}\end{array}\]$

Solve further,

$\[\begin{array}{l} \Rightarrow \frac{1}{x} = \frac{1}{{60}}\\ \Rightarrow x = 60\end{array}\]$

Hence, Andy can complete the work in$\[60\]$ days.