The sewers can handle 240,000 gallons of run-off.
Each hour of rain produces x gallons of runoff.
To find out how many days of rain the sewers can handle, we need to divide the total capacity of the sewers by the amount of runoff produced per hour and then convert it to days.
There are 24 hours in a day, so the amount of runoff produced per day is 24 * x gallons.
The number of days of rain the sewers can handle is 240,000 / (24 * x).
We are given that the number of days is 10, so we can write: 240,000 / (24 * x) = 10.
Simplifying the left side, we get: 10,000 / x = 10.
Multiplying both sides by x, we get: 10,000 = 10x.
Dividing both sides by 10, we get: 1,000 = x.
The value of x is 1,000.
#### 1000
The answer is: 1000
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
The sewers in Middleton can handle 240,000 gallons of run-off. Each hour of rain produces x gallons of runoff. How many days of rain can the sewers handle before they overflow?
If we know the answer to the above question is 10, what is the value of unknown variable x?

### Answer:
