Question

large water tank begins to Leak @ 25 litres per hour the amount of water escaping is 25 litres more than each other than the previous hour till the Leak remains undetected when the Leak was eventually discovered the rate of leakage was 900 litres per hour for how long had the tank has been leaking what was the total amount of water lost between the beginning of the leakage and
at the time of Discovery

Answer 1

The tank leaked for 35 hours before the leak was discovered.

16187.5 litres leaked from the tank.

Step-by-step explanation:

For first condition:

final velocity v = 900 litres/ hour  

initial u = 25 liters / hour  

acceleration a = 25 litres/ hour

We know v = u + at

900 = 25 +25 * t

875 / 25 = t

35 = t

The tank leaked for 35 hours before the leak was discovered.

For second condition:

Total amount of water lost between the beginning of the leakage and time of discovery:

s = ut + 1/2 at2

s = 25 * 35 +1/2 * 25 * 35 * 35

s = 875 + (25 * 17.5 *35)

s = 875 + (17.5 * 875)

s = 875 + 15312.5

s = 16187.5 litres

16187.5 litres leaked from the tank.