Question : If $x$ can finish a job in 4 hours and $y$ can finish the same job in 8 hours independently, then they together will finish the job in:
Option 1: 140 minutes
Option 2: 160 minutes
Option 3: 120 minutes
Option 4: 150 minutes
Latest: SSC CGL Tier 1 Result 2024 Out | SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL Tier 1 Scorecard 2024 Released | SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: 160 minutes
Solution : Assume that $x$ efficiency is $e_x$ and $y$ efficiency is $e_y$. Let's assume that the work is 1 unit. Given that $x$ can finish a job in 4 hours. $⇒e_x = \frac{\text{work}}{\text{time}} = \frac{1}{4}$ Given that $y$ can finish the same job in 8 hours. $⇒e_y = \frac{\text{work}}{\text{time}} = \frac{1}{8}$ When they work together, their combined efficiency is the sum of their efficiencies. $⇒e_{x+y} = e_x + e_y = \frac{1}{4} + \frac{1}{8} = \frac{3}{8}$ Therefore, they will finish the job together in $\frac{8}{3}$ hours or $\frac{8}{3}$×60 minutes i.e., 160 minutes. Hence, the correct answer is 160 minutes.
Candidates can download this ebook to know all about SSC CGL.
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Question : A can finish a job in 8 hours and B can finish the same job in 12 hours independently. If they work simultaneously, how many hours can they do the same job?
Question : $x$ can copy 80 pages in 20 hours $x$ and $y$ together can copy 135 pages in 27 hours. Then $y$ can copy 20 pages in:
Question : Richa, Rita and Reena can independently complete a task in 8 hours, 12 hours and 24 hours, respectively. If they work together, how much time will they take to complete that task?
Question : In a 1500 m race, X beats Y by 100 m and X beats Z by 240 m. By what distance does Y beat Z in the same race?
Question : Two workers A and B are engaged to do a piece of work. Working alone A would take 8 hours more to complete the work than when working together. If B worked alone, would take $4\frac{1}{2}$ hours more than when working together. The time required to finish the work
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile