Question : A can finish a work in 24 days and B in 30 days, individually. They work together for 11 days. The percentage of the work still to be finished will be:
Option 1: 18%
Option 2: 16%
Option 3: 17.5%
Option 4: 12.5%
New: SSC CHSL Tier 2 answer key released | 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: 17.5%
Solution : Time taken by A alone to complete the work = 24 days ⇒ Part of work done by A alone in a day = $\frac{1}{24}$ Time taken by B alone to complete the work = 30 days ⇒ Part of work done by B alone in a day = $\frac{1}{30}$ Let the time taken by A and B together to complete the work = $x$ ⇒ Part of work done by A and B in a day = $\frac{1}{x}$ ⇒ $\frac{1}{24}$ + $\frac{1}{30}$ = $\frac{1}{x}$ ⇒ $\frac{5+4}{120}$ = $\frac{1}{x}$ ⇒ $x$ = $\frac{120}{9}$ = $\frac{40}{3}$ days Now, part of the work done by A and B in 11 days = $\frac{11}{\frac{40}{3}}$ = $\frac{33}{40}$ ⇒ Part of work left = $\frac{7}{40}$ ⇒ Percentage of work left = $\frac{7}{40}×100$ = 17.5% Hence, the correct answer is 17.5%.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : A can finish a work in 15 days, B can finish the same work in 25 days. They work together for 5 days. The rest of the work is finished by A and C in 4 days. Then C alone can finish the work in:
Question : A and B can finish a work together in 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days can A alone finish the job?
Question : A can finish a work in 7 days. B can finish the same work in 9 days. The number of days required to finish the same work by both of them together is:
Question : X can do a piece of work in 24 days. When he had worked for 4 days, Y joined him. If complete work was finished in 16 days, Y can alone finish that work in:
Question : Three people A, B, and C worked together and finished a work in 9 days. If A alone can finish the same work in 18 days, and B alone in 30 days, then the number of days C alone will take is:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile