A alone can complete a work in 12 days, B alone can complete the whole work in 15 days, while C alone can complete the whole work in 20 days. In how many days A, B and C altogether can complete 60% of the work?

2 days
3 days
4 days
5 days

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 2 : 3 days

Given:

A alone can complete a work in = 12 days

B alone can complete the same work in = 15 days

C alone can complete the same work in = 20 days

Formula:

Total work = Efficiency × Time

Calculation:

Total work = 60 units (LCM of 12, 15 and 20)

⇒ Efficiency of A = 60/12 = 5 units/day

⇒ Efficiency of B = 60/15 = 4 units/day

⇒ Efficiency of C = 60/20 = 3 units/day

60% of the total work = 60 × 60/100 = 36 units

∴ Time taken by A, B and C to complete 60% of the work = 36/(5 + 4 + 3) = 36/12 = 3 days

5 views Answered 2022-09-04 04:29

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