An electric kettle has two coils. when onc of them is switched on, the water in the kettle boils in 6 minutes. When the other coil is switched on, the water boils in 3 minutes If the two coils are connected in series the time taken to boil water in the kettle is:
$H_1 = { V^2 \over R_1 } t_1$ $ R_1 = { V^2 \over H_1} t_1 and R_2 = { V^2 \over H_2 } t_2$ $ { V^2 \over H_1 } = { V^2 \over H_2 } = const \therefore R\, \alpha \,t $ $ Now R_s = R_1 + R_2 $ t = 6 + 3 = 9 Minutes