Question

A does half as moch work as B in
three- fourth of the time. If together, they take
28 days to complete the work I how much time
Shall & takes to do it.​

Answer 1

Q) A does half as much work as B in three-fourth of the time. If together they take 18 days to complete the work, how much time shall B take to do it?

A does half the work in 3/4th of the time taken by B. So, A can complete the work in 1.5 times the time taken by B.

Now, we know work efficiency is inversely proportional to time.

So, [WAWB]=[TBTA]

Or, [WAWB]=[11.5]

Or, [WAWB]=[23]

So, if A does 2 parts, B does 3 parts. Together they complete 5 parts in 1 day.

As they take 18 days to complete the work together, so,

TOTAL WORK = 90 parts

So, TB=TOTAL WORKWB

Or, TB=[903]

Or TB=30days (Answer)