A Container of Hot Liquid Is Placed in a Freezer $20 ^ { \circ } \mathrm { F }$

Multiple Choice

A container of hot liquid is placed in a freezer that is kept at a constant temperature of $20 ^ { \circ } \mathrm { F }$ . The initial temperature of the liquid is $170 ^ { \circ } \mathrm { F }$ . After 3 minutes, the liquid's temperature is $62 ^ { \circ } \mathrm { F }$ . How much longer will it take for its temperature to decrease to $31 ^ { \circ } \mathrm { F }$ ? Round your answer to two decimal places.

A) $1.89$ minutes
B) $2.84$ minutes
C) $3.16$ minutes
D) $1.26$ minutes
E) $3.47$ minutes