Question 1035944
A and B agreed to do a job for rs 360.
they can complete the job in 12 days but with the help of C they complete in 9 days.
what is A share if B alone can complete the entire job in 18 days
:
let a = no. of days for A to do the job alone
let the completed job = 1
:
Find a
{{{12/a}}} + {{{12/18}}} = 1
multiply equation by 18a, cancel the denominators and you have:
18(12) + 12a = 18a
216 = 18a - 12a
216 = 6a
a = 216/6
a =  36 days A working alone
From this we can see that A does 1/3 of the job and B does 2/3
12/36 = 1/3, therefore
{{{1/3}}} * 360 = $120 is A's share of the payment for the job