If A and B together complete a work in 20 days. If A alone completes the work in 24 days

If A and B together complete a work in 20 days. If A alone completes the work in 24 days, then B alone completes the work in
A. 14 days
B. 44 days
C. 120 days
D. 48 days

Anurag Mishra Professor Asked on 29th February 2016 in Maths.
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1 Answer(s)

Answer: (C) 120 days 

Solution:-
A and B together complete a work = 20 days
Therefore, A and B can work in a day = 1/20

A alone completes the work = 24 days
Therefore, A alone can work in a day  = 1/24

B alone can work in a day = 1/20 – 1/24
 = (6 – 5)/120 
 = 1/120

Then, B alone completes the work in 120 days. 

Hence, the correct answer is option (C) 120 days. 

Anurag Mishra Professor Answered on 1st March 2016.
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