Question

A water tank holds 1,072 gallons but is leaking at a rate of 5 gallons per week. A second water tank holds 1,340 gallons, but it's leaking at a rate of 9 gallons per week. How many weeks will the amount of water in the two tanks be the same?

a. 34 weeks
b. 160 weeks
c. 134 weeks
d. 68 weeks

Answer 1

It will take 67 weeks for the amount of water in the two tanks to be the same.

Step-by-step explanation:

To find out how many weeks it will take for the amount of water in the two tanks to be the same, we need to set up an equation to represent the amount of water in each tank over time. Let x represent the number of weeks.

The amount of water in the first tank can be represented as: 1072 - 5x

The amount of water in the second tank can be represented as: 1340 - 9x

To find the number of weeks where the amounts are the same, we can set up the following equation:

1072 - 5x = 1340 - 9x

Solving for x, we get:

4x = 268

x = 67

Therefore, it will take 67 weeks for the amount of water in the two tanks to be the same.