Time and Work
Aptitude

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Q.

$A$ and $B$ together can complete a piece of work in 35 days while $A$ alone can complete the same work in 60 days. $B$ alone will be able to complete the same working in:

 A.

74 Days

 B.

80 Days

 C.

84 Days

 D.

90 Days

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Solution:
Option(C) is correct

Formula Used:

Subtraction of fraction

\(\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-cb}{bd}\)

$A$ and $B$ finish one work with company = $35$ days

$(A + B)’$s one day’s work = \(\dfrac{1}{35}\)

$A$ alone finish the same work = $60$ days

$A’$s one day’s work = \(\dfrac{1}{60}\)

$B’$s one day’s work = $(A + B)’$s one day’s work  - $A’$s one day’s work 

\(\dfrac{1}{35}-\dfrac{1}{60}=\dfrac{1}{84}\)

Hence $B$ alone can complete the work in 84 days


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