Two identical cups of soup

PHYSICS · Subjective · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

Two identical cups of soup, each initially at

92^{\circ}\text{C}

, are placed in different locations. Cup A cools in a room held at

22^{\circ}\text{C}

, while Cup B cools in a hallway held at

18^{\circ}\text{C}

. After 6 minutes, Cup A has cooled to

70^{\circ}\text{C}

. Assuming both cups cool with the same proportionality constant, determine the temperature of Cup B (in °C) at the 6-minute mark.