A reversible engine converts one-sixth of the heat supplied into work. When the temperature of the sink is reduced by $62^{\circ}C$, the efficiency of the engine is doubled. The temperatures of the source and skin are:

Question

$$\begin {array} {1 1} (a)\;99^{\circ}C,37^{\circ}C & \quad (b)\;80^{\circ}C,37^{\circ}C \\ (c)\;95^{\circ}C,37^{\circ}C & \quad (d)\;90^{\circ}C,37^{\circ}C \end {array}$$