Question

A rectangle reservoir is 120m long and 75m wide.At what speed per hour must water flow into it through a square pipe of 20 cm wide so that the water rises by 2.4m in 18 hours?
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Answer 1

Answer:

30 km/hr

Step-by-step explanation:

Length of Reservoir = 120 m

Breadth of Reservoir = 75 m

Height of water in 18 hours = 2.4 m

Volume of water collected = 21600m^3

Let the speed of water = x km/hr

The pipe is in the form of a cuboid of width 0.2 m and breadth of 0.2 m

The length of the cuboid in the pipe in 18 hours = 18x meters

The Volume of the water flowing out of the pipe in 18 hours = 0.2 * 0.2 * 18x

Volume in reservoir = Volume flowing out of the pipe

21600 = 0.72x

x = 21600/0.72

x = 30000 m/hr

x = Speed of water = 30 km/hr

Answer 2

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