Anthony can do a piece of work 3¼ days, then work done by Anthony in 1 day is ?
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Let, Anthony can do x amount of work in 1 hour, Bentley can do y amount of work in 1 hour and Caleb can do z amount of work in 1 hour.
So, 4x = 1……………………………(i)
And, 3y + 3z = 1…………………………(ii)
And, 2x + 2z = 1……………………………(iii)
From (i); x = (1 / 4).
Putting x = (1 / 4) in (iii), we get:
2z = (1 / 2)
z = (1 / 4).
Putting z = (1 / 4) in (ii), we get:
3y = 1 - (3 / 4) = (1 / 4)
y = (1 / 12).
So, Bentley needs (1 / y) = 12 hours to complete the job alone.
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