Two outlets of the same capacity when opened together can empty a full tank of volume 3000 cu.m in 24 hr. If the tank is going to be filled by a tap at the rate of 300 cu.m/hr, what is the least number of additional outlets (which have the same capacity as the former outlets) that have to be opened, so that the tank never overflows?

Two spinning machines A and B can together produce 3,00,000 m of cloth in 10 hour, if machine B alone can produce the same amount of cloth in 15 hour, then how much cloth can machine A produce alone in 10 hour?

A can complete a piece of work P in 6 days while B can complete twice that work in half the time taken by A. C can complete half of work P in thrice the amount of time taken by B for double the work. If A and C start the work together and B joins them after exactly 1.5 days, in how many days will the total work be complete?