A can do a job in 16 days and B can do the same job in 12 days With the help of C they can finish th...

Question

A can do a job in 16 days and B can do the same job in 12 days With the help of C they can finish the job in 6 days only Then C alone can finish it in a 34 da b 22 days c 36 days d 48 days

Accepted Answer

we know that Number of hours A required to do a piece of work 16 days Number of hour B required to do a piece of work 12 days Let us consider the number of days C required to do a piece of work x days Number of hours A B and C together required to do a piece of work 6 days We can calculate work done by A in 1 day 116 Work is done by B in 1 day 112 Work is done by C in 1 day 1x Work is done by A B and C together in a 1 day 16 Now work done by AB and C together in 1 day 116 112 1x 748 1x 748 1x 16 7x4848x 16 42x 288 48x 6x 288 x 2886 48 C can do the work in 48 days

RS Aggarwal Solutions Class 8 Mathematics Solutions for Time and Work Exercise 13B in Chapter 13 - Time and Work