Question

An iron water tank with a capacity of
10,000gallons has a water supply inlet,
which feedswater at the rate of 300
gallons per hour. Thiswater inlet starts
automatically when thewater level goes
below the 5000-gallon mark.If there is a
hole formed at the bottom of thetank
when the water tank is full, how long willit
take for the whole tank to be emptied if
thewater goes out of the hole at the rate
of 500gallons per hour?
O (1) 20 hr
O (2) 10 hr
(3) 50 hr
O (4) 35 hr

Answer 1

Answer:

is

it is takes 3)50 hours

Answer 2

Solution :-

→ Rate of water goes out from hole = (-500) gallons / hour .

So,

→ Time taken by hole to empty first 5000 gallons = 5000/500 = 10 hours .

Now, Inlet pipe is also open .

then,

→ Capacity of inlet + Hole = 300 + (-500) = (-200) gallons / hour .

therefore,

→ Time taken by hole to empty another 5000 gallons now = 5000/200 = 25 hours .

hence,

→ Total time taken by hole to empty full tank = 10 + 25 = 35 hours (D) (Ans.)

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