Given parameters:
Distance covered = 455 miles
Time taken = 7 hours
New time taken = 5 hours
Unknown:
New distance = ?
To solve this problem, we need to define what speed entails.
Speed is a physical quantity and it is distance divided by time.
Speed = [tex]\frac{distance}{time }[/tex]
In this problem, we first find the rate at which Jim is driving;
Speed = [tex]\frac{455}{7}[/tex] = 65miles/hr
Now that we know the rate, we can simply find the new distance;
New distance = speed x new time taken
Input the parameters;
New distance = 65miles/hr x 5hrs = 325miles