Question

A hostel having strength of 300 students requires on an average 36000 L of water per day. It has a tank measuring 10 m × 8 m × 9 m. For how many days will the water in the tank filled to capacity last?

Answer 1

The water in the tank filled to capacity lasts 20 days.

Explanation:

Total number of students in the hostel = 300

The average need of water per day = 36,000 L

The dimensions of the tank = 10 m × 8 m × 9 m

Now, the capacity of the tank = LENGTH X WIGHT X HEIGHT

= 10 m × 8 m × 9 m = 720 cubic meters

Now,
`1m^(3)   = 1,000L`

⇒
`720 m^(3)   = 720  *  1,000L  = 720,000L`

So, the capacity of the tank = 720,000 L

and the average usage of water by 300 students =
`= (720,000 L)/(36,000 L)  = 20`

⇒
`\textrm{The number of days water lasts}  = \frac{\textrm{Total capacity of the tank}}{\textrm{Average need of water per day}}`

or, number of days = 20

Hence, the water in the tank filled to capacity lasts 20 days.