Question : Rohan and Mohit, together, can build a wall in 8 days. Mohit and Vikas can build the same wall in 10 days and Vikas and Rohan can Build the same wall in 12 days. In how many days can all three complete the same wall while working together?
Option 1: $\frac{240}{37}$
Option 2: $\frac{120}{37}$
Option 3: $\frac{150}{37}$
Option 4: $\frac{180}{37}$
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: $\frac{240}{37}$
Solution : Word done by Rohan and Mohit in one day = $\frac{1}{8}$ ---------------------(1) Work done by Mohit and Vikas in one day = $\frac{1}{10}$ ----------------------(2) Work done by Vikas and Rohan in one day = $\frac{1}{12}$ ---------------------(3) Adding (1), (2), and (3), we get 2(Work done by Rohan, Mohit and Vikas in one day) = $\frac{1}{8}+\frac{1}{10}+\frac{1}{12}$ ⇒ Work done by Rohan, Mohit and Vikas in one day = $\frac{37}{120}\times \frac{1}{2}$ = $\frac{37}{240}$ $\therefore$ Together they will complete the wall in $\frac{240}{37}$ days. Hence, the correct answer is $\frac{240}{37}$.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : 12 men can do work in 8 days while 4 boys can do it in 40 days. In how many days 9 boys and 3 men together will complete the same work?
Question : A and B together can complete a work in 20 days. B and C together can complete the same work in 15 days. If A, B, and C all work together, then the same work gets completed in 10 days. How many days will A and C together take to complete the same work?
Question : Disha takes 12 hours to copy a 75-page manuscript, while Mohit can copy the same manuscript in 10 hours. How many hours will it take for them to copy a 150-page manuscript if they work together?
Question : If 7 people working 4 hours a day can complete a task in 14 days. The number of days taken by 12 people working 8 hours a day will be:
Question : 30 women working 5 hours a day can complete a work in 18 days, In how many days will 21 women working 8 hours a day complete the same work?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile