neena and Sunita can do a piece of a work in 8 days, and neena alone can do it in 12 days. how long would Sunita take to do the same work
Answers
Answer:
Work done by A and B together in 1 day = 1/8 of the work
Work done by A in 1 day = 1/12 of the work
Work done by B in 1 day = 1/8 − 1/12
= 3−2/24= 1/24
Number of days taken by B alone to do the same work
= 1/1/24=24days
Given : Neeta & Sunita can do a piece of work in 8 days & Neeta alone can do it in 12 days
To Find : how long would Sunita takes to do the same work
Solution:
Neeta alone can do in 12 days
=> Neeta work in 1 day = 1/12
Let say Sunita can do work in S days
=> Sunita 1 Day work = 1/S
Neeta & Sunita Together 1 day work = 1/12 + 1/S
Neeta & Sunita can do a piece of work in 8 days
=> Neeta & Sunita Together 1 day work = 1/8
Equate
=> 1/12 + 1/S = 1/8
=> 1/S = 1/8 - 1/12
=> 1/S = ( 3 - 2) /24
=> 1/S = 1/24
=> S = 24
Sunita alone will take 24 days to complete work.
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