Two Carnot engines \(A\) and operate in series such that engine \(A\) absorbs heat at \(T_1\) and rejects heat to a sink…

Two Carnot engines \(A\) and operate in series such that engine \(A\) absorbs heat at \(T_1\) and rejects heat to a sink at temperature \(T\). Engine \(B\) absorbs half of the heat rejected by Engine \(A\) and rejects heat to the sink at \(T_3\). When work done in both the cases is equal, the value of \(T\) is:

[JEE Main 2021, 27 Jul (Shift 2)]