Answer: D - 10.5 miles
To find the distance Pat traveled, use the formula for calculating speed:
speed = distance / time
Now we fill in the variables that we know:
1 mile / 20 minutes = distance / 3.5 hours
Since we need our time to be measured in the same units, we will change the time to minutes:
1 mile / 20 minutes = distance / 210 minutes
We have now created a ratio formula: 1 mile is to 20 minutes as x miles is to 210 minutes. To solve this equation, cross multiply:
1 x 210 = 20 x distance
Now we simplify and solve for distance:
210 = 20 x distance
210 / 20 = (20 x distance) / 20
210 / 20 = (20 x distance) / 20
210 / 20 = distance
10.5 = distance
So, Pat walked for a total of 10.5 miles.
