The daily requirements of water of three families in our three-storyed flat are 1200 litres, 1050 litres and 950 litres respectively. After fulfilling these requirements in order to put up a tank again and to deposit to store 25 % of the required water, only a land having the length of 2·5 m and breadth of 1 ·6 m has been procured. Calculate the depth of the tank in metre that should be made. If the breadth of the land would be more by 4 dcm, then calculate the depth of the tank to be made.

Explanation

The total requirements of water of three families= (1200 + 1050 + 950) litres= 3200 litres.
As per question ,, the quantiy of water to be stored
`= (3200 + 3200xx 25/100)` litres = (3200 + 800) litres = 4000 litres = 4000 cu-dcm.
The length of the bank. =2.5 m = 25 dcm
Breadth = 1.6 m = 16 dcm
Let the depth of the tank =x m 10 x dcm.
the volume of the tank `=10 x xx 25 xx 16 ` du-dcm `=4000 x cu - dcm.`
As per condition , 4000 x = 4000 or, `x=4000/4000=1`
`therefore` the depht of the bank = 1 m
If the breadth be 4 dcm more than let the depth of it be y dcm.
`therefore 25 xx (16+4) xx y = 4000 ` or, `25 xx 20 xx y = 4000 or, y = (4000)/(25 xx 20)= 8`
Hence in the first case, the depth of the tank will be 1 metre and in the second case the depth of the tank will be 8 dcm.