Question

(11) 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

Answer:

30 days

Step-by-step explanation:

Steps are given in the above attachment....

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Answer 2

Answer:

let the work be 1

gajanan done his work in x days.

hence ganesh take x+10 days to done the work

ganesh complete 1/x work in 1 day

gajanana complete 1/x+10 work in 1 day

by 1st condition,

12/x+12/x+10=1

12(x+10)+12(x)/x( x+10)=1

12x+120+12x/x^2+10x=1

24x+120=x2+10x

x2+10x-24x-120=0

x2-14x-120=0

x2-20x+6x-120=0

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

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

x-20=0or x+6=0

x=20or x=-6

but work is not negative

x=20

ganesh complete work in x+10days=20+10=30

hence Ganesh complete the work in 30 days