Question : If 3 boys and 8 girls can do work in 6 days, and 1 boy and 5 girls can finish the same in 12 days, find the ratio of efficiencies of a boy and a girl.
Option 1: 2 : 1
Option 2: 1 : 5
Option 3: 2 : 5
Option 4: 3 : 2
Correct Answer: 2 : 1
Solution :
Given: 3 boys and 8 girls can do work in 6 days, and 1 boy and 5 girls can finish the same in 12 days.
Let the efficiencies of a boy and a girl be $x$ and $y$ respectively.
Work done = Time × Efficiency
According to the question,
⇒ $(3x + 8y)\times 6=(x+5y)\times 12$
⇒ $18x+48y=12x+60y$
⇒ $18x-12x=60y-48y$
⇒ $6x=12y$
⇒ $x=2y$
⇒ $x:y=2:1$
Hence, the correct answer is 2 : 1.
Related Questions
Know More about
Staff Selection Commission Multi Tasking ...
Answer Key | Cutoff | Selection Process | Preparation Tips | Eligibility | Application | Exam Pattern
Get Updates Brochure
Your Staff Selection Commission Multi Tasking Staff Exam brochure has been successfully mailed to your registered email id “”.
