Question

Laura is a chemist working with liquids and solutions. She has two large cylindrical barrels that can hold up to 2,000 liters each. The first barrel contains 900 liters of solution, and the second barrel contains 100 liters of solution. Laura begins draining the first barrel at a rate of 36 liters per minute at the same time she begins filling the second barrel. Laura fills the second barrel with 44 liters of solution every minute. Which inequality represents the seconds, s, when the second barrel contains a greater or equal amount of solution than the first barrel?

Answer 1

900 - 0.6s ≤ 100 + 0.73s

Explanation:

The left side is the equation for the first barrel containing 900L and draining at 36L/minute. This means that it drains 0.6L/second.

The right side of the equation is for the second barrel containing 100L and filling at 44L/minute. This means that it fills at 0.73L/second.