Question

Pintu takes 6 days more than those of nishu to complete a certain work.if they work together they finish it in 4 days. How many days would it take if they work alone

Answer 1

find out the one day work =1/6and1/4 subract them

Answer 2

Answer:

Pintu can complete the work alone in 12 days and nishu can complete the work alone in 6 days.

Step-by-step explanation:

Let Pintu can complete the work alone in 6+x days and nishu can complete the work alone in x days.

The part of work done by Pintu in one day = $\frac{1}{x+6}$

The part of work done by Pintu in one day = $\frac{1}{x}$

The part of work done by both in one day = $\frac{1}{x+6}+\frac{1}{x}$

It is given they work together they finish it in 4 days.

$4(\frac{1}{x+6}+\frac{1}{x})=1$

$x^2-2x-24=0$

$x^2-6x+4x-24=0$

$x(x-6)+4(x-6)=0$

$(x-6)(x+4)=0$

$x=6,-4$

The number of days can not be negative, therefore Pintu can complete the work alone in (6+6=12) days and nishu can complete the work alone in 6 days.