self Maths Puzzle

Three pipes A,B and C are connected to a tank. These pipes can fill the tank separately in 5hr, 10 hr and 15hr respectively. When all the three pipes were opened simultaneously, it was observed that pipes A and B were supplying water at (
3
4
)th of their normal rates for the 1st hour after which they supplied water at normal rate. Pipe C supplied water at (
2
3
)rd of its normal rate for 1st 2 hour, after which it supplied at its normal rate. In how much time, tank would be filled?

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self Other Question

What is the value of 1×1!+2×2!+3!×3!+............n×n!;
where n! means n factorial or n(n−1)(n−2)...1?
If A and B work together, they will complete a job in 7.5 days. However, if A works alone and completes half the job and then B takes over and completes the remaining half alone, they will be able to complete the job in 20 days. How long will B alone take to do the job if A is more efficient than B?