Question

(ii) 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

• We can assume that Gajanan takes X days to complete the work.
• So as per the information given in the question, Ganesh takes X+10 days to complete the work.  
• In one day Gajanan does 1/X part of work and Ganesh does 1/(X+10) part of work.
• Together day does in a day= 1/X+1/(1+X) part =(2X+10)/X(X+10)
• We know that they complete the work in 12 days.  
• So in a day they does=1/12 part
• So as per equation, (2X+10)/X(X+10) =1/12
• From them we find value of X=20,-6
• Days can’t be negative number so by elimination -6 we can say X=20
• So Gajanan takes 20 days to complete the work alone.  
• So Ganesh takes 20+10=30 days to complete the work alone.