1.

Two pipes P and Q can fill a tank in 10 hrs and 12 hrs respectively. If the two pipes are opened at 9 AM in the morning, at what time the pipe P should be closed to fill the tank exactly at 3.00 PM?1). 13:30 PM2). 1:00 PM3). 2:00 PM4). 12:00 PM

Answer»

According to the given CONDITIONS ,

P fills 1/10 TH of the tank in 1 hour

And Q fills 1/12 th of the tank in 1 hour

It takes total 6 HOURS to fill the tank

Let both the taps be open for X hours

∴ x × (1/10 + 1/12) + (6 - x) × (1/12) = 1

∴ 11x/60 + ½ - x/12 = 1

∴ x = 5

∴ P should be closed after 5 hours i.e at 2:00 PM


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