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reddy

· started a discussion

· 1 Months ago

need explanation (Question: 232949.0 )

can u please explain the answer

Question:
A and B working together take 8 and 18 less days than A alone and B alone respectively to do a work. The number of days taken by A and B working together to do the work is:
Options:
A) 10
B) 11
C) 12
D) 13
Solution:

Ans; (c)

Vaibhav Yadav

· commented

· 1 Months ago

Hey, its very simple ...
let A+B =x days means A works for x days and B also works for x days
A alone do the works in 8 days more than x , means work done by B in x days is done by A in 8 days
similarly work done by A in x days can be done by B in 18 days.
8A=xB
xA=18B
on dividing both => x^2= 8*18 = 144 => x=12

RAVI KANT

· commented

· 1 Months ago

Let A and B complete the work in 'x' days.
then, according to the question A will complete the work in 'x plus 8' days.
sorry my plus key is not functioning so i am writing plus in place of addition.
and B will complete the work in 'x plus18 ' days

so, A's one day work is 1/x plus 8.
and B's one day work is 1/x plus 18.

now , 1/ x plus 8 'plus' 1/ x plus 18 = 1/x
then solve the equation for value of 'x'

Rishi kumar

· commented

· 1 Months ago

sorry, I also can't explain the answer.
Please, Anybody explain it in detail.
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