(Solved) : Two Carnot Engines Have The Same Efficiency . . .

Two Carnot engines have the same efficiency. One engine runs in reverse as a heat pump, and the other runs in reverse as a refrigerator. The coefficient of performance of the heat pump is 1.50 times the coefficient of performance of the refrigerator. Find
(a) The coefficient of performance of the refrigerator,
(b) The coefficient of performance of the heat pump, and
(c) The efficiency of each heat engine.

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