Others Maths Puzzle

Using an inlet pipe P it was planned to fill a tank by exactly noon one day. P was opened at a certain time that day, but after some time, a leak was spotted. It was immediately closed. In order to fill the tank by noon, another inlet pipe Q of the same flow rate as P was then opened. Had the leak not been spotted, the tank would have been 50% full by noon and completely full by 3:00 p.m. that day. Find the time when Q was opened.

(1) 9:45 a.m.
(2) 11:00 a.m.
(3) 10:30 a.m.
(4) 10:00 a.m.
(5) 10:15 a.m

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Others Other Question

There are three containers - M, W and H - of equal capacities, containing milk, water and honey respectively. Each container is filled upto 75% of its capacity. Now, W is topped up to its brim (i.e.,filled completely), with the contents of M. The contents of W are then thoroughly mixed. Then H is topped up to its brim with the contents of W. The contents of H are then thoroughly mixed. Finally, the contents of H are used to fill M again up to 75% of its capacity. Which among the following statements is true regarding m, w and h, which are the respective final concentrations of milk in M, water in W and honey in H?

(1) m > w > h
(2) w > h > m
(3) m = w = h
(4) m > h > w
(5) None of the above A , B and C complete a work in 24 days. The day in which A and C complete the work together B and C take 80/11 days less. A and B complete that work in 36 days. A will alone do the work in how many days