Final answer:
To find the distance from the house to work, use the formula Distance = Speed x Time. Substituting the given values, the distance is calculated to be 12 miles.
Step-by-step explanation:
To find the distance from your house to work, we can use the formula:
Distance = Speed x Time
In this case, you ride your bike at a speed of 18 miles per hour and it takes you 40 minutes to get to work. In order to use the same unit for speed and time, let's convert 40 minutes to hours. There are 60 minutes in an hour, so 40 minutes is equal to 40/60 = 2/3 hours.
Now we can substitute the values into the formula:
Distance = 18 mph x 2/3 hours
Calculating this, we get:
Distance = 12 miles
Therefore, your work is 12 miles away from your house.