NIFT UG 2019 Question Paper with solutions

Question : 22 of 150

Marks: +1, -0

A

is twice as good a workman as

B

and together they finish a piece of work in 14 days. The number of days taken by

A

alone to finish the work is

Solution:

A

completes the work in

x

days,

B

will take

2 x

days to complete the work.
(A + B)'s 1 day work

=\;{1}/{14}

According to the question,

\;{1}/{x}+\;{1}/{2 x}=\;{1}/{14}

⇒\;{2+1}/{2 x}=\;{1}/{14}

⇒ \;\; 2 x=42

∴

x=21

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