Water is continuously supplied from a reservoir to a locality at the steady rate

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Water is continuously supplied from a reservoir to a locality at the steady rate of 10000 liters per hours. When delivery exceeds demand the excess water is stored in a tank. If the demand for 8 consecutive three hour periods is 10000, 10000, 45000, 25000, 40000, 15000, 60000 and 35000 liters respectively, what will be the minimum capacity required of the water tank (in thousand liters)to meet the demand and avoid any wastage?

Options:

A . 10

B . 30

C . 40

D . 50

Answer: Option C
We have the following table:
Period
Supply
Demand
Calculation
Excess Qty. in tank
0 - 3 hrs
30000
10000
30000 - 10000
20000
3 - 6 hrs
30000
10000
20000 + 30000 - 10000
40000
6 - 9 hrs
30000
45000
40000 + 30000 - 45000
25000
9 - 12 hrs
30000
25000
25000 + 30000 - 25000
30000
12 - 15 hrs
30000
40000
30000 + 30000 - 40000
20000
15 - 18 hrs
30000
15000
20000 + 30000 - 15000
35000
18 - 21 hrs
30000
60000
35000 + 30000 - 60000
5000
21 - 24 hrs
30000
35000
5000 + 30000 - 35000
0
The excess quantity in tank at any time does not exceed 40000 litres,
Which is the required minimum capacity to avoid wastage.

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