Easy Time and Work Solved QuestionAptitude Discussion

 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

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

(1) Comment(s)

Appu
()

product/difference

=>35*60/25

=>7*12= 84