A alone can complete the work in 12 days and B alone can complete the work in 24 days. When A, B and C worked together then work will be completed in 72/11 days. In how many days C alone can complete the half of the work?

18 days
72 days
36 days
40 days

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 1 : 18 days

Given:

A can do the work in 12 days

B can do the work in 24 days

A, B, C can do the work in 72/11 days

Calculation:

A's 1 days work = 1/12

B's 1 days work = 1/24

⇒ (A + B + C)'s 1 days work = 1/12 + 1/24 + 1/C

⇒ 1/12 + 1/24 + 1/C = 11/72

⇒ 1/12 + 1/24 - 11/72 = -1/C

⇒ 1/C = (6 + 2 - 11)/72

⇒ -1/C = -2/72 = -1/36

⇒ 1/C = 1/36

C alone can complete the work in 36 days.

∴ Time taken by C to complete half of work = 36 × 1/2 = 18 days

Time taken by a person to complete a/b fraction of work = a/b × (Number of days in which person alone can complete work)

5 views Answered 2022-09-04 04:29

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