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Multiple Choice Questions

B takes 25 less time than E to complete the full work B worked for some days and left the work and E...........

Quantitative Aptitude (HAS) Time and work

Study the following information and answer the questions that follow:
There are five people A, B , C , D and E. The table below shows the number of days taken by them to complete the work. Study the table and answer the questions that follows:

B takes 25% less time than E to complete the full work. B worked for some days and left the work and E took the work and worked for 1 more day than the number of days for which B did the work. After this E also left the work. Still 3/5 of the remained incomplete. If E takes 5 more days than B to complete the work, then find the number of days for which E worked.

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Explanation:

Let E takes 4y days; then B takes75/100*4y=3y days. Also 4y-3y=5 => E= 20 days, B =15 days
Let B worked for x days, and E for x+1 days
x/ 15 + (x+1)/20 = 2/5 [as 3/5 work is incomplete]
solve and get x=3
hence E worked for x+1= 4 days

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