Question: Here is a clever idea. Suppose you build a two-engine device such that the exhaust energy output from one heat engine is the input energy

Here is a clever idea. Suppose you build a two-engine device such that the exhaust energy output from one heat engine is the input energy for a second heat engine. We say that the two engines are running in series. Let e 1 and e 2 represent the efficiencies of the two engines.
(a) The overall efficiency of the two-engine device is defined as the total work output divided by the energy put into the first engine by heat. Show that the overall efficiency is given by

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