Question

A 355 ml can of juice is leaking at a rate of 5 ml per hour. A 325 ml can of

drink is leaking at a rate of 2 ml per hour. How long will it take for both cans to
have the same amount of liquid?

Answer 1

By setting up an equation to compare the decreasing amounts of liquid over time for both cans, it is determined that it will take 10 hours for both cans to have the same amount of liquid.Therefore, it will take 10 hours for both cans to have the same amount of liquid.

Step-by-step explanation:

To determine how long it will take for both cans to have the same amount of liquid, we must describe the situation with an equation that represents the remaining liquid in each can over time. Let's define T as the time in hours it takes for both cans to have the same amount of juice.

The first can starts with 355 ml and loses 5 ml per hour, so after T hours it will contain 355 ml - 5 ml/hour × T. The second can starts with 325 ml and loses 2 ml per hour, so after T hours it will contain 325 ml - 2 ml/hour × T. The cans will have the same amount of liquid when their quantities are equal:

355 - 5T = 325 - 2T

To solve for T, we combine like terms:

355 - 325 = 5T - 2T

30 = 3T

T = 30/3

T = 10 hours

Therefore, it will take 10 hours for both cans to have the same amount of liquid.