Let A, M, and w represent Angelo's distance per week, Marc's distance per week, and the number of weeks of this regimen, respectively. .. A = w +7 . . . . . . . Angelo's distance goes up 1 mile/week each week .. M = 2w +4 . . . . . Marc's distance goes up 2 miles/week each week
a) A = M .. w +7 = 2w +4 .. 3 = w . . . . . . . . . . subtract w+4
After 3 weeks Angelo and Marc will be running the same distance.
b) A = M = 3+7 = 2*3+4 = 10
That distance will be 10 miles per week.
_____ This problem can be a little confusing because "miles per week" is a rate, and we're talking about the rate of increase of that rate: 1 or 2 miles per week per week. It might be easier to think of the numbers as "weekly distance", rather than "miles per week".
Since 10 millimeters is equal to 1 centimeter, all you have to do is divide 500 by 10. So, 500 divided by 10 is equal to 50. The final answer is 50 centimeters.
