Question : X can do a piece of work in 14 days, Y can do the same work in 28 days and Z can do it in 42 days. In how many days can X, Y, and Z together complete the work?
Option 1: $7 \frac{9}{11}$
Option 2: $7 \frac{7}{11}$
Option 3: $7 \frac{5}{11}$
Option 4: $7 \frac{3}{11}$
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: $7 \frac{7}{11}$
Solution : The time taken by X, Y, and Z to complete work alone is 14, 28 and 42 days, respectively. So, 1 day's work of X, Y, and Z, respectively is $\frac{1}{14}, \frac{1}{28}, \frac{1}{42}$. Their total 1 day's work = $\frac{1}{14}+ \frac{1}{28}+ \frac{1}{42}$ = $\frac{(6+3+2)}{84}$ = $\frac{11}{84}$ So, total time is taken if X, Y, and Z working together = $\frac{84}{11}=7\frac{7}{11}$ days Hence, the correct answer is $7\frac{7}{11}$.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : X, Y, and Z can complete a piece of work in 20, 12, and 28 days respectively. If all work together, the approximate number of days to complete the work will be:
Question : Simplify the given expression. $\frac{x^3+y^3+z^3-3 x y z}{(x-y)^2+(y-z)^2+(z-x)^2}$
Question : If a man completed a work in 10 days and the same work was completed by a woman in 8 days. How many days will it take to complete if they work together?
Question : A can do a piece of work in 12 days and B can do the same work in 15 days. If both do the work together, then in how many days will the work be completed?
Question : A can do a certain work in 9 days. B is 80% more efficient than A. How many days will B and A together take to do the same work?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile