# A can do a piece of work in 24 hours while B alone can do it in 16 hours. If A, B and C working together can finish it in 8 hours, in how many hours can C alone finish the work?

Number of hours A required do a piece of work : 24 hours

Number of hours B required do a piece of work : 16 hours

Let number of hours C required to do a piece of work : X hours

Number of hours required by A, B and C together to do a piece of work : 8 hours

Work done by A in one hour:

Work done by B in one hour:

Work done by C in one hour:

Work done by A, B and C together in a one hour :

Work done by A, B and C together in one hour : = = =

=

40X +384 = 48X

8X = 384

X = = 48 hours

Siraj can do the work 48 hours.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Motion and Time38 mins
Issues in Children at Work37 mins
How to manage your time more effectively?37 mins
Champ Quiz | Force, Pressure & Sound29 mins
Quiz on Friction + Force30 mins
Genius Quiz | Powers and Exponents27 mins
Scalar and Vector Quantities43 mins
Ratio and Percentage28 mins
Nucleus and Genetic Material46 mins
Champ Quiz | Square and Square Root35 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

Express:

4 : 5 as a percentage;

RS Aggarwal - Mathematics