the brake horsepower of a pump is 28.5 hp. if the water horsepower is 22.6 hp, what is the efficiency of the pump?

79.3% pump efficiency
88.4% pump efficiency
72.6% pump efficiency
82.0% pump efficiency

Question

the brake horsepower of a pump is 28.5 hp. if the water horsepower is 22.6 hp, what is the efficiency of the pump?

79.3% pump efficiency
88.4% pump efficiency
72.6% pump efficiency
82.0% pump efficiency

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Applied Math Calculations" ], "new_concepts": [ "Pump Efficiency Formula" ], "current_concepts": [ "Applied Math Calculations", "Pump Efficiency Formula" ] } ## Identify the given values and formula $$ \begin{aligned} &\text{Brake Horsepower (BHP)} = 28.5\text{ hp} \ &\text{Water Horsepower (WHP)} = 22.6\text{ hp} \ &\text{Pump Efficiency } (\eta) = \frac{\text{WHP}}{\text{BHP}} \times 100\% \end{aligned} $$ ## Calculate the pump efficiency $$ \begin{aligned} \eta &= \frac{22.6}{28.5} \times 100\% \ &\approx 0.79298 \times 100\% \ &\approx 79.3\% \end{aligned} $$

(A) 79.3% pump efficiency

(B) 88.4% pump efficiency

(C) 72.6% pump efficiency

(D) 82.0% pump efficiency

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Applied Math Calculations" ] }

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Question

Explanation:

Identify the given values and formula

Calculate the pump efficiency

Answer: