A and B together can complete a work in 15 days, B and C together can complete the whole work in 12 days and C alone can complete the whole work in 30 days. In how many days A alone can complete the whole work?

80 days
40 days
50 days
60 days

LohaHridoy

8 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 4 : 60 days

Given:

A and B can complete the work in = 15 days

B and C can complete the work in = 12 days

C alone can complete the work in = 30 days

Formula:

Total work = Efficiency × Time

Calculation:

Total work = 60 unit (LCM of 15, 12 and 30)

Efficiency of A and B = 60/15 = 4 units/day

Efficiency of B and C = 60/12 = 5 units/day

Efficiency of C = 60/30 = 2 units/day

Now,

Efficiency of B = 5 – 2 = 3 units/day

Efficiency of A = 4 – 3 = 1 unit/day

∴ Time taken by A to complete the whole work = 60/1 = 60 days

8 views Answered 2022-09-04 04:29

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