Amulya alone does a piece of work in 2 days and Bindu does it in 6 days

Amulya alone does a piece of work in 2 days and Bindu does it in 6 days. In how many days will the two do it together?
(a) 2/3 days
(b) 3/2 days
(c) 5/3 days
(d) 3 days

Anurag Mishra Professor Asked on 4th May 2016 in Maths.
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1 Answer(s)

Answer: (b) 3/2 days 

Solution:-
Amulya alone can do a piece of work = 2 days
Therefore, Amulya can do a piece of work in a day = 1/2 

Bindu can do same piece of work = 6 days
Therefore, Bindu can do same work in a day = 1/6 

Amulya and Bindu  together can  do same work in a day = 1/2 + 1/6 
 = (3 + 1)/6
 = 4/6 
 = 2/3 

Then, Amulya and Bindu together can do same work = 3/2 hours. 

Hence, the correct answer is option (b) 3/2 hours. 

Anurag Mishra Professor Answered on 4th May 2016.
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