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MMLU-Pro / 109 / Mr. Castle will buy one of two 10-HP motors offered to him. Motor A sells for…

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question

Mr. Castle will buy one of two 10-HP motors offered to him. Motor A sells for $169 and has a full-load efficiency of 85.2%. Motor B costs $ 149 and has a full-load efficiency of 82.1%. The annual inspection and maintenance fee on both motors is 14.5% of the price. If electric energy costs 2.35 cents per kilowatt hour (1 HP = 0.746kw.) find the number of hours per year at which the cost of both motors will be the same.

Plain-text mathematical notation (without MathML)

Mr. Castle will buy one of two 10-HP motors offered to him. Motor A sells for $169 and has a full-load efficiency of 85.2%. Motor B costs $149 and has a full-load efficiency of 82.1%. The annual inspection and maintenance fee on both motors is 14.5% of the price. If electric energy costs 2.35 cents per kilowatt hour (1 HP = 0.746kw.) find the number of hours per year at which the cost of both motors will be the same.

Original LaTeX notation

Mr. Castle will buy one of two 10-HP motors offered to him. Motor A sells for $169 and has a full-load efficiency of 85.2%. Motor B costs $149 and has a full-load efficiency of 82.1%. The annual inspection and maintenance fee on both motors is 14.5% of the price. If electric energy costs 2.35 cents per kilowatt hour (1 HP = 0.746kw.) find the number of hours per year at which the cost of both motors will be the same.

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upstream_id / Original problem ID: 109
task_id: 1a3ea49c-4d7e-5b0b-9876-73490128c809
task_key: default--test--109
task_revision_id: 1
config / split: default / test

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