Two reversible heat engines A and B are arranged in series. Heat engine A rejects heat directly to B. Engine A receives 300 kJ of heat at a temperature of 4270C from a high temperature source while engine B rejects heat to a cold sink at 70C. If the work output of A is two times that of B, find (i) intermediate temperature between A and B, (ii) efficiency of each engine, (iii) heat rejected by engine A and received by engine B and (iv) heat rejected to the sink.