Time And Work Ques 45
Question-
A can do a certain work in the same time in which $B$ and $C$ together can do it. If A and $B$ together could do it in 10 days and $C$ alone in 50 days, then what time will B take to complete the same task?
(1) 15 days
(2) 20 days
(3) 25 days
(4) 30 days
(5) 35 days
(Indian Bank PO (Pre.) Exam, 21.01.2017 (Ist Sitting))
Show Answer
Correct Answer: (3)
Solution: (3)
$(A+B+C)$ ’s 1 day’s work $=\frac{1}{10}+\frac{1}{50}$ $=\frac{5+1}{50}=\frac{6}{50}=\frac{3}{25}$
Time taken by $A=x$ days (let)
$\therefore$ Time taken by $(B+C)$ $=x$ days
$\therefore \frac{2}{x}=\frac{3}{25} \Rightarrow x=\frac{50}{3}$
$\therefore$ Time taken by $(B+C)$ $=\frac{50}{3}$ days
$\therefore$ B’s 1 day’s work $=\frac{3}{50}-\frac{1}{50}=\frac{2}{50}=\frac{1}{25}$
$\therefore$ Required time $=25$ days
BETA
