When A and B work together they take 5 days to complete a piece of work. When B alone works at half his efficiency then he takes 8 days to complete 80% of the work. Find the time in which A alone can complete the piece of work if he works at 80% of his efficiency.?

25/3 days
24/3 days
26/3 days
29/3 days

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 1 : 25/3 days

GIVEN:

(A + B)'s time = 5 days

B's time for 80% work at half efficiency = 8

FORMULA USED:

Work = Time × Efficiency

CALCULATION:

B's to complete 80% with full efficiency = 16 days

B's time to complete 100% work = 16/80 × 100 = 20 days

Let A takes x days to complete the work

1/x + 1/20 = 1/5

1/x = 3/20

A's time = 20/3

Time taken by A at 80% efficiency= 20/3 × 100/80 = 25/3 days

∴ A will take 25/3 days

4 views Answered 2022-09-04 04:29

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