NIFT UG 2018 Question Paper with solutions

Question : 22 of 150

Marks: +1, -0

A

and

B

can do a job together in 12 days.

A

is 2 times as efficient as

B

. In how many days can

B

along complete the work?

Solution:

A

alone completes the work in

x

days,

B

will complete the same in

2 x

days.
According to the question,

(A+B)^{'} s

one day work

\;{1}/{x}+\;{1}/{2 x}=\;{1}/{12}

⇒ \;{2+1}/{2 x}=\;{1}/{12}

⇒2 x=36

⇒x=\;{36}/{2}=18

∴ B

alone will complete the work in 36 days.

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