Question

19. A water tank built by a municipality of a town to supply water to its 25000 inhabitants at 25 litres per day per person is 40 m
long and 31 .25 m broad. The tank, when it is full, can supply water for two days to the inhabitants of the town. Find the
depth of the tank
​

Answer 1

Answer:

Let us consider the depth of the tank to be h m.

Its length is 40m and breadth is 31.25m.

So, the volume of the tank is = (40*31.25*h) m³

Again, the total capacity of tank for 25000 inhabitants at 125L per day per person and for 2 days is = (25000*125*2)L

= 6250000 litres

= 6250 m³ [As 1m³ = 1000L]

Equating both the volumes, we get:

So, (40*31.25*h) = 6250

⇒ 1250h = 6250

⇒ h = 6250/1250 = 5

So, h = 5 m

Thus, depth of tank = 5m

Step-by-step explanation:

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Answer 2

Answer

Let us consider the depth of the tank to be h m.

Its length is 40m and breadth is 31.25m.

So, the volume of the tank is = (40*31.25*h) m³

Again, the total capacity of tank for 25000 inhabitants at 125L per day per person and for 2 days is = (25000*125*2)L

= 6250000 litres

= 6250 m³ [As 1m³ = 1000L]

Equating both the volumes, we get:

So, (40*31.25*h) = 6250

⇒ 1250h = 6250

⇒ h = 6250/1250 = 5

So, h = 5 m

Thus, depth of tank = 5m