Question : If 4 men or 6 boys can finish a piece of work in 20 days, then in how many days can 6 men and 11 boys finish the same work?
Option 1: 5
Option 2: 6
Option 3: 7
Option 4: 8

Question

Question : If 4 men or 6 boys can finish a piece of work in 20 days, then in how many days can 6 men and 11 boys finish the same work?

Option 1: 5

Option 2: 6

Option 3: 7

Option 4: 8

Team Careers360 · Accepted Answer

Correct Answer: 6

Solution : Time taken by 4 men to complete the work = 20 days
Part of work done by 4 men in a day = $\frac{1}{20}$
Part of work done by 1 man in a day = $\frac{1}{20×4}=\frac{1}{80}$
Time taken by 6 boys to complete the work = 20 days
Part of work done by 6 boys in a day = $\frac{1}{20}$
Part of work done by 1 boy in a day = $\frac{1}{20×6}=\frac{1}{120}$
Part of the work done by 6 men and 11 boys in a day
= $\frac{6}{80} + \frac{11}{120}$
= $\frac{3}{40} + \frac{11}{120}$
= $\frac{9+11}{120}$
= $\frac{1}{6}$
Time taken by 6 men and 11 boys to complete the work
= 6 days
Hence, the correct answer is 6.

Exams

Colleges

Predictors

Resources

Quick links

Exams

Colleges & Courses

Predictors

Resources

Exams

Colleges

Predictors & E-Books

Resources

Engineering Preparation

Medical Preparation

Online Courses

Products

Exams

Colleges

Resources

Exams

Colleges

Predictors & Articles

Resources

Exams

Colleges

Predictors

Resources

Exams

Colleges

Upcoming Events

Resources

Exams

Colleges

Resources

Quick Links

Top Streams

Specializations

Resources

Top Providers

Exams

Colleges

Resources

Diploma Colleges

Exams

Colleges

Resources

Exams

Resources

Top Courses & Careers

Colleges

Exams

Upcoming Events

Resources

Other Exams

Exams

Colleges

Top Countries

Student Visas

Exams

Top Schools

Products & Resources

NCERT Study Material

Question : If 4 men or 6 boys can finish a piece of work in 20 days, then in how many days can 6 men and 11 boys finish the same work?Option 1: 5Option 2: 6Option 3: 7Option 4: 8

Related Questions

Know More about

Upcoming Exams

Trending Articles around SSC CPO

Download the Careers360 App on your Android phone

Sign In/Sign Up

Question : If 4 men or 6 boys can finish a piece of work in 20 days, then in how many days can 6 men and 11 boys finish the same work?
Option 1: 5
Option 2: 6
Option 3: 7
Option 4: 8