Question

For doing some work ganesh takes 10 days more than gajanan. If both of them work together they complete it in 12 days. Find the number of days taken by majama to complete the work alone

Answer 1

Answer:

Gajanan completes the works in 36 days

Step-by-step explanation:

Answer 2

Ganesh takes 30 days to complete work alone.

Step-by-step explanation:

Let Gajanan takes time to complete work alone=x days

Ganesh takes time to complete work alone=x+`10 days

In x days, Gajanan complete work=1

In 1 days ,Gajanan complete work=$\frac{1}{x}$

In 12 days,Gajanan complete work=$\frac{12}{x}$ work

In (x+10),Ganesh  complete work=1

In 1 day,Ganesh  complete work=$\frac{1}{x+10}$ work

In 12 days,Ganesh  complete work=$\frac{12}{x+10}$ work

According to question

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

$\frac{12x+120+12x}{x(x+10)}=1$

$x(x+10)=24x+120$

$x^2+10x-24x-120=0$

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

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

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

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

$x-20=0$

$x=20$

$x+6=0$

$x=-6$

It is not possible because number of days cannot be negative.

Gajanan takes 20 days to complete work alone.

Ganesh takes time to complete work alone=20+10=30 days

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