Time And Work Ques 41
Question-
A, B and C together can do a work in 10 days, $B$ alone takes three times as long as $A$ and $C$ together take to do the work. C takes twice as long as A and B together take to do the work. How many days does $B$ take to complete the work alone?
(1) 35 days
(2) 40 days
(3) 25 days
(4) 30 days
(5) 45 days
(IBPS Bank PO/MT CWE Prelim Exam, 03.10.2020)
Show Answer
Correct Answer: (2)
Solution: (2)
Let time taken by $A$ and $C$ be $x$ days.
$\therefore \quad$ Time taken by $B=3 x$ days
$\therefore \quad(A+B+C)$ ’s 1 day’s work $=\frac{1}{x}+\frac{1}{3 x}=\frac{1}{10}$
$\Rightarrow \frac{3+1}{3 x}=\frac{1}{10}$
$\Rightarrow 3 x=40=$ Time taken by B.
$\therefore$ Required answer $=40$ days.
BETA
