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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 was the volume of water (in litres) filled in the first two hours ?

Option: 1

1500


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

In the above graph, the volume of water is projected by the area of the portion enclosed by the line-graph and the axes.

Thus the volume of water filled in the first two hours would be given by the portion ABDE in the graph below :

 

Volume of water filled in the 1st hour = Area of the triangle ABC = (1/2)*20*60 = 600 litres

Volume of water filled in the 2nd hour = Area of the trapezoid CBDE = (1/2)*(20+10)*60 = 900 litres

Hence, total volume filled in 2 hours = 600+900 = 1500 litres

 

Posted by

Deependra Verma

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