Question

If 60men can finish a piece of work in 25 days then how many days will 15 men take to do

Answer 1

$\overline{\underline{ \bf Question}}$

If 60 men can finish a piece of work in 25 days then how many days will 15 men take to do.

$\colorbox{lavender}{\sf Answer}$

$\tt \dfrac{25}{4} = 6.25 \: days$

Solution

If 60 men can finish a piece of work in 25 days

then 1 man can do the same work in 25/60 days

Similarly , 15 men can do the same unit of work in

$\tt \dfrac{25}{60} \times 15 \: days$

Before proceeding note this is Unitary Method

$\boxed{\begin{array}{c} \tt60 \: men = 25 \: days \\ \tt 1 \: man = \cancel\dfrac{25}{60} = \frac{5}{12} \\ \\ \tt15 \: men \: = \frac{5}{12} \times 15 = \cancel\frac{75}{12} = 6.25 \end{array}}$

$\tt = 6.25 \: days$

Conclusion

15 men can do the same unit work in 6.25 days .

Thankyou

Answer 2

Answer:

$60 \: days \:$

Step-by-step explanation:

$we \: have \: to \: use \: invers \: variation \: \\ (36 \times 25) \div 15 \\ = 12 \times 5 \\ = 60$