Answer:
Greg lives 280 miles from the mountains.
Step-by-step explanation:
Given:
Time required to drive to the mountains = 8 hours.
Time required to drive home = 5 hours.
We need to find the distance Greg live from the mountains.
Solution:
Let the average rate while driving to the mountains be 'x'.
So rate while returning home =
Now we know that;
Distance is equal to Speed times Time.
So we can say that;
Distance while travelling the mountain =
Distance while returning home =
Now we know that;
Distance while travelling the mountain and Distance while returning home will both be equal.
so we get;
Combining like terms we get;
Dividing both side by 3 we get;
Substituting the value of x in any of the Distance equation we get;
Distance =
Hence Greg lives 280 miles from the mountains.