Question

For doing some work Ganesh takes 10 days more than Gajanan. If both work together they complete the work in 12 days. Find the number of days if he work alone

Answer 1

Ganesh takes 30 days if he work alone.

Step-by-step explanation:

Consider the provided information.

Let Gajanan takes x days.

Ganesh takes 10 days more than Gajanan: x+10

Together they complete the work in 12 days.

This can be written as:

$\frac{1}{x} +\frac{1}{x+10}=\frac{1}{12}$

$\frac{x+10+x}{x(x+10)}=\frac{1}{12}$

$\frac{10+2x}{x^2+10x}=\frac{1}{12}$

$120+24x=x^2+10x$

$x^2-14x-120=0$

$x^2-20x+6x-120=0$

$x(x-20)+6(x-20)=0$

$(x-20)(x-6)=0$

$x=20\ or\ x=-6$

Number of days can't be a negative number so the value of x is 20.

Thus, Gajanan takes 20 days.

Ganesh takes 10 days more than Gajanan i.e 30 days.

#learn more

For doing some work Ganesh takes 10 days more than John.If both work together they will complete the work in 12 days.Find the number of days required to complete the work if they work alone.​

https://brainly.in/question/10240917

Answer 2

Answer is 30 days....

Explanation is given in photo.