NIFT PG 2019 Question Paper with solutions

Question : 25 of 150

Marks: +1, -0

A

is thrice as good a workman as

B

and therefore is able to finish a job in 40 days less than

B

. Working together, they can do it in

Solution:

Time taken by

A

to complete the work

=x

days

∴

Time taken by

B

to complete the work

=3 x

days

∴ \;\; 3 x-x=2 x=40

⇒ \;\; x=20

and

3 x=60

∴ (A+B)^{'}

s 1 day's work

=\;{1}/{20}+\;{1}/{60}=\;{3+1}/{60}

=\;{4}/{60}=\;{1}/{15}

∴ A

and

B

together will complete the work in 15 days.

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