Time And Work Ques 40
Question-
A alone can do a piece of work in 10 days, while $B$ alone can do it in 15 days. They work together for 5 days and the rest of the work is done by $C$ in 2 days. If they get Rs. 450 for the whole work, how should they divide the money?
(1) Rs. 225 , Rs. 150 , Rs. 75
(2) Rs. 250, Rs. 100, Rs. 100
(3) Rs. 200, Rs. 150, Rs. 100
(4) Rs. 175, Rs. 175, Rs. 100
(5) None of these
(IBPS RRBs Officer CWE Prelim Exam, 13.09.2020)
Show Answer
Correct Answer: (1)
Solution: (1)
$(A+B)$ ’s 5 days’ work $=5\left(\frac{1}{10}+\frac{1}{15}\right)$ $=5\left(\frac{3+2}{30}\right)=\frac{5}{6}$
Remaining work $=1-\frac{5}{6}=\frac{1}{6}$
This part of work is done by $C$.
$\therefore$ C’s share $=$ Rs. $\left(\frac{1}{6} \times 450\right)$ $=$ Rs. 75
Work done by $A=\frac{5}{10}=\frac{1}{2}$
$\therefore$ A’s share $=\frac{1}{2} \times 450$ $=$ Rs. 225
$\therefore$ B’s share $=$ Rs. $(450-225-75)$ $=$ Rs. 150
BETA
