When B works at half of his overall efficiency he tales 45 days more than what C takes to complete t...........

Quantitative Aptitude ( CCS) Line Chart

Study the following information and answer the questions that follow:
There are 6 people A, B, C, D, E and F. They require certain days to complete a piece of work. The graph below shows by what percent person B, C, D, E and F are more efficient than A. Answer the questions based on this data.

When B works at half of his overall efficiency he tales 45 days more than what C takes to complete the full work. If the same work is to be completed by D and F together with D having been worked for 10 days alone then how many days will D and F together take to complete the remaining work?

30 (18/23) days

31 (15/23) days

30 (18/23) days

34 (18/23) days

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Explanation:

A- x days; B- 2x/3 days (normal condition) ;
when working at half his efficiency B takes 4x/3 days;
C- 5x/6 days ; given B-C= 45 => 4x/3 – 5x/6 = 45 => x=90
D takes 90 days; F- 900/13 days ; (D+F) together in 900/23 days full work;
work done by D in 10 days = 10/90=1/9;
remaining work =8/9
so D and F can do 8/9 work in 900/23 * 8/9 = 800/23 days = 34 (18/23) days