Multiple choice

A constructor builds a water tank with the dimensions 100 m long and 75 m wide. He uses a square pipe with sides 20 cm to fill the water into it. If the water level rises by 1.2 m in 10 hours while filling the tank with the square pipe, then what will be the speed of water?

  1. 21 km per hour

  2. 22.5 km per hour

  3. 23.5 km per hour

  4. 24 km per hour

  5. 26 km per hour
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume of water = 100 * 75 * 1.2 = 9,000 m^3. Pipe area = 0.2 * 0.2 = 0.04 m^2. Flow rate = Volume / Time = 9,000 / 10 = 900 m^3/hr. Speed = Flow rate / Area = 900 / 0.04 = 22,500 m/hr = 22.5 km/hr.

AI explanation

The volume of water filled in the tank is 100 m multiplied by 75 m multiplied by 1.2 m, which equals 9000 cubic meters. The cross-sectional area of the square pipe is 20 cm by 20 cm, which equals 400 square centimeters or 0.04 square meters. Using the volume equals area multiplied by speed formula, the speed of the water per hour is 9000 cubic meters divided by 0.04 square meters, resulting in 225000 meters per hour. Converting this to kilometers per hour gives a speed of 22.5 km per hour.

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