Time And Work Ques 43
Question-
In how many days, 5 men, 5 women and 3 professionals can complete a work together, when 12 men complete the work in 35 days, 10 women complete the same work in 45 days and 5 professionals complete the same work in 21 days?
(1) $20 \frac{8}{15}$ days
(2) $14 \frac{5}{11}$ days
(3) $19 \frac{5}{13}$ days
(4) $13 \frac{5}{17}$ days
(5) None of these
(IBPS RRBs Officer CWE Prelim Exam, 31.12.2020)
Show Answer
Correct Answer: (3)
Solution: (3)
Time taken by $5 men$ in doing work $=\frac{12 \times 35}{5}$ $=84$ days
$\left[M_{1} D_{1}=M_{2} D_{2}\right]$
Time taken by 5 women $=\frac{10 \times 45}{5}=90$ days
Time taken by 3 professionals $=$ $\frac{5 \times 21}{3}=35$ days
$\therefore$ (5men +5 women +3 professionals)’s 1 day’s work $=\frac{1}{84}+\frac{1}{90}+\frac{1}{35}$ $=\frac{15+14+36}{1260}=\frac{65}{1260}$
$\therefore$ Time taken $=\frac{1260}{65}=\frac{252}{13}=19 \frac{5}{13}$ days
BETA
