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 taken by Ganesh to complete the work ,if he works alone.​

Answer 1

$\fontsize{18}{10}{\textup{\textbf{The required number of days is 12}}}$

Step-by-step explanation:

Let Gajanan takes x days to complete the work

Then, Ganesh takes (x+10) days to complete the work

According to the given condition

1/x  + 1/(x+10)=1/12

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

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

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

=>x=-6,20

Since no of days cannot be negative, so Gajanan takes 20 days to complete the work