Damon can do a piece of work in 15 days and Elena in 20 days. What amount of time will they take to complete the work, if a person Stefan who does negative work, can destroy the work in 25 days when they work together.?

12(1/23)
14(1/23)
13(1/23)
10(1/23)
17(1/23)

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 3 : 13(1/23)

Given

Damon can complete a piece of work in = 15 days

Elena can complete same piece of work in = 20 days

Stefan can destroy the work in = - 25 days

Concept used

work = time × efficiency

Calculation

LCM of 15, 20 and - 25 = 300 i.e, total work = 300 units

efficiency of Damon = 20 units / per day

efficiency of Elena = 15 units / per day

efficiency of Stefan = - 12 units / per day

Their total efficiency = 23 units / per day

When they work altogether , work will be completed in = 300 / 23 = 13(1/23)

∴ they will take 13(1/23) days to complete the whole work.

4 views Answered 2022-09-04 04:29

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