For the science high school classical exam, a question adapted from a solved problem with some typos and parenthesis mistakes in a book: A 10 cubic meter tank, located 3 meters above the well water level, can be filled in 10 minutes by a single-phase asynchronous motor with 80% efficiency and power factor 1, a phase-to-neutral voltage of 220 volts, and a pump operating with 20% efficiency. What is the current drawn by the motor from the mains in amperes, and what is the overall efficiency of the system? [In SI System, 1 horsepower (hp) ≈ 746 watts ≈ 76 kgf·m / second, and the Density of Water ≈ 1 gram per cubic centimeter.] 1 gram / cm^3 = 1000 kg / m^3 Mass of the water in the well: 10 m^3·1000 kg / m^3 = 10000 kg Work done in 10 minutes: 10000 kg·3 m = 30000 kgm Apparent power of the pump: 30000 kgm / [ 10 minutes·60 (seconds / minutes) ] = 50 kgm / seconds 50 (kgm / seconds) / [ 76 kgf·m / (hp·seconds) ] = 25 / 38 hp Real power drawn by the pump from the motor: (25 / 38 hp) / 0.2 = (25 / 38 hp) / (2 / 10) = 125 / 38 hp = [ 125 / 38 hp ]·0.746 kW / hp = 2.453 kW = 2453 Watts. Real power drawn by the motor from the mains: 2453 watts / 0.8 = 3066.25 watts Current drawn from the mains: 3066.25 watts / (220 volts) = 13.9375 ≈ 14 amperes Overall efficiency of the system: 0.2·0.8 = 0.16 = 16%. Turkish Version of the Problem That I Slightly Changed: Kuyu suyu seviyesinden 3 metre yükseklikteki 10 metre küp hacimli bir depo, verimi %20 olan bir tulumbayı çalıştıran %80 verimli ve faz-nötr gerilimi 200 volt olan tek fazlı bir asenkron motorla 10 dakikada doldurulabildiğine göre motorun şebekeden çektiği akım kaç amperdir ve tüm sistemin verimi yüzde kaçtır? [Metrik Sistemde (SI) 1 Beygir Gücü ≈ 746 Watt ≈ 76 kg·kuvvet / saniye, suyun yoğunluğu ≈ 1 gram / cm^3] "Elektroteknik", Prof.Dr. Ahmet Akhunlar, İTÜ Yayınları, Sayı: 104, 4. Baskı, 1975, Sayfa 77, Örnek 5 - 5. To make sure that the above solution is correct, I just in case asked the AI at www.mathful.com, which gave the attached very detailed analysis with a summary: https://i72.servimg.com/u/f72/19/97/10/39/mathfu14.png