The base length and width of a rectangular reservoir are 15 meters and 12 meters respectively. Water is filled into the reservoir from a nearby pond using a pump. If the pump can fill 36,000 liters of water per hour, then how long will it take for the pump to fill the reservoir up to a height of 7.2 decimeters? [Note: 1 liter = 1 cubic decimeter]

Q.The base length and width of a rectangular reservoir are 15 meters and 12 meters respectively. Water is filled into the reservoir from a nearby pond using a pump. If the pump can fill 36,000 liters of water per hour, then how long will it take for the pump to fill the reservoir up to a height of 7.2 decimeters? [Note: 1 liter = 1 cubic decimeter]

The length of the rectangular reservoir = 15 meters = 150 decimeters And the width = 12 meters = 120 decimeters The volume of water accumulated at a height of 7.2 decimeters \(= 150 \times 120 \times 7.2\) cubic decimeters \(= 129600\) cubic decimeters \(= 129600\) liters (since 1 liter = 1 cubic decimeter) \(\therefore\) Time required to fill the reservoir using the pump \(= \cfrac{129600}{36000}\) hours \(= \cfrac{18}{5}\) hours \(= 3\cfrac{3}{5}\) hours \(= 3\) hours and \(\cfrac{3}{5} \times 60 = 36\) minutes So, the pump needs to run for3 hours and 36 minutes to fill the reservoir to the desired height.