CPM Homework Help : INT2 Problem 7-53

The temperature in San Antonio, Texas is currently $77^\circ \text{F}$ and is increasing by $3^\circ$ per hour. The current temperature in Bombay, India is $92^\circ\text{F}$ and the temperature is dropping by $2^\circ$ per hour. If the temperatures continue to change in this same way, when will it be as hot in San Antonio as it is in Bombay? What will the temperature be?

Hint:

Let $h$ represent the number of hours and let $t$ represent the temperature.

Step 1:

Translate the word problem into equations.

$t = 77 + 3h$ and $t = 92 - 2h$

Step 2:

Solve for $h$ and $t$ .