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A can complete a work in 8 days working 10 hours a day. B can complete the same work in 12 days working 8 hours a day. A and B both work together by working 8 hours a day, how many days will they take to complete the work?

A can complete a work in 8 days working 10 hours a day. B can complete the same work in 12 days working 8 hours a day. A and B both work together by working 8 hours a day, how many days will they take to complete the work? Correct Answer 60/11 days

Given:

A can complete a work in 8 days working = 10 hours a day

B can complete the same work in 12 days working = 8 hours a day

Calculation:

A can complete the work in (8 × 10) hrs. = 80 hrs.

B can complete the work in (12 × 8) hrs. = 96 hrs.

A's 1 hour's work = 1/80  

B's 1 hour's work = 1/96

∴ (A + B)'s 1 hour's work = 1/80 + 1/96

⇒ 11/480

∴ both A and B will finish the work in 480/11 hrs.

∴ Number of days of 8 hours each = 480/11 × 1/8

⇒ 60/11 days

∴ they take 60/11 days to complete the work.

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