Directions for question :
The graph below shows the varying rate of flow of water (litres/min) through a pipe used to fill a reservoir :
Whenever the rate of flow of water changed it did so at a uniform rate, as is apparent from the graph. The reservoir was completely filled up from being empty in the above eight hours.
Question :
What is the average filling rate of water (in liters per hour) for the first three hours ?
700
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Correct Answer : 700
Volume of water filled in the first three hours
= Area of region ABDFG
= Area of ABC + Area of CBDE + Area of EDFG
= (1/2)*20*60 + (1/2)*(10+20)*60 + 10*60
= 600 + 900 + 600
= 2100 litres
Hence, the average filling rate of water for the first three hours = 2100/3 = 700 litres per hour