Answer: The answer is 0 hours and 10 hours.
Step-by-step explanation: Given that me and my friend are on a road trip. My speed is 70 miles per hour and my friend's speed is 60 miles per hour. Our plan is to drive less than 15 hours and at least 600 miles each day.
Also, my friend will drive more hours than me.
Let, 'x' and 'y' be the number of hours drove by me and my friend respectively. Then, according to the given information, we have the following inequalities.
[tex]y>x,\\\\x+y<15,\\\\70x+60y\geq 600.[/tex]
When we plot these inequalities in a graph paper, we can see in the attached figure, where the common shaded region gives the solution set, one of the solution is point 'P', given by
x = 0 and y = 10.
This solution satisfy all the three conditions given above.
Thus, one of the solution is - I will drive for 0 hours and my friend will drive for 10 hours.
