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In a tank there are three inlet pipes P, Q and R and one outlet pipe S. Pipe R fills the tank two times faster than pipe P and three times faster than pipe Q. Outlet S takes 10 minutes to empty the full tank. Time taken by inlet R to fill the empty tank is 2\5th of the time taken by S to Empty the full tank. In what time Will the inlets P and Q together fill the empty tank ?
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Explanation:
Time taken by pipe R to fill the empty tank
= 2\5×10 = 4 minutes
∴ Time taken by pipe P to fill the tank
= 8 minutes
∴ Time taken by pipe Q to fill the tank
= 12 minutes
Part of tank Filled by pipes P and Q in 1 minute
= 1\8+1\12 = 3+2\24 = 5\24
∴Required time
= 24\5 = 4 4\5 minutes