Deepak-srarts-a-work-and-work-for-12-days-and-find-he-has-ompleted-10-less-work-which-he-had-to-finish-in-order-to-complete-the-work-in-24-days-so-he-ask-Rahman-to-join-him-to-finish-the-work-o

Question Number 25667 by adityapratap2585@gmail.com last updated on 12/Dec/17

Deepak srarts a work and work for 12

days and find he has ompleted 10 %

less work which he had to finish in

order to complete the work in 24 days \bar{,}

so he ask Rahman to join him to finish

the work on time . If Rahman work

half day only for the remaining days .

Find the efficiency of Rahman is what

percent less then the efficiency of

Deepak ?

Commented by Rasheed.Sindhi last updated on 14/Dec/17

Contribution of Deepak in work 90 %

Contribution of Rahman in work 10 %

Deepak,

in 24 days contributes \frac{9}{10} of work

Rahman,

in 6 days contributes \frac{1}{10} of work

[12 half days = 6 days (full)]

In one day :

Deepak contributes \frac{9}{10 \times 24} = \frac{3}{80} of work .

Rahman contributes \frac{1}{10 \times 6} = \frac{1}{60} of work .

\frac{3}{80} - \frac{1}{60} = \frac{1}{48}

\frac{1}{48} = \frac{x}{100} \Rightarrow x = \frac{100}{48} = \frac{25}{12}

So Rahman has \frac{25}{12} % less efficiency

Commented by Rasheed.Sindhi last updated on 14/Dec/17

Please confirm the answer .