A can complete a work in x x x days, and B can complete the same work in 2 x 2x 2 x days. A starts the work and works for 22 9 \frac{22}{9} 9 22 ​ day...

Question

A can complete a work in xx days, and B can complete the same work in 2x2x days. A starts the work and works for 229\frac{22}{9} days, after which B replaces him and finishes the remaining work in the same time as C and D together would take to complete it. The efficiency ratio of C to D is 4:54 : 5. If C and D work on alternate days starting with C, they complete the entire work in 441244\frac{1}{2} days.

E and F together work for 24 days, after which they are replaced by A and B respectively, who complete the remaining work in 20 days. The efficiency ratio of E to F is 5:45 : 4. If E and F together complete the entire work alone, what is the difference between the amount of work done by E alone and the amount of work done by F alone?

Find the correct answer.

Options

A.

19\frac{1}{9}

B.

17\frac{1}{7}

C.

27\frac{2}{7}

D.

13\frac{1}{3}

E.

34\frac{3}{4}

work and timeefficiencyratioalternating workreplacement

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