Given, tank filled by A in 2h and tank filled by B in 6h
Then, part of the tank filled in 1 h by pipe
A= Part of the tank filled in 1 h by pipe
B= According to the question,
Pipe A was opened at 10 am and till 11 am pipe
A alone worked. So, part of the tank filed between 10 am to 11 am by pipe
A= Thus remaining work
=1−= Now, remaining work will be done by both pipes
(A+B) Tank filled by (A + B) working together
= (where
x=2,y=6) ===h Hence, half tank filled by
(A+B) =h=h =×60=45min Hence. the tank will be filled at 11: 45 am