Question

the Green River Freeway has a minimum and maximum speed limit Tony drove for two hours at the minimum speed limit and 3.5 hours at the maximum speed limit a distance of 355 miles Ray drove 2 hours at the minimum speed limit and 3 hours at the maximum speed limit a distance of 300 miles what are the two speed limits? write equations to repersent Tony's distance and Raes distance

Answer 1

In order to solve it we have to make two equations for Tony and Ray. But first we have to appeal to the formula : Distance = Speed*Time. Since we have two speeds we can match minimum speed and aximum speed with x and y respectively. So, now we can make an equation for both guys: 

2x+3.5y=355 for Tony 

2x+3y=320 For Ray
Then substracting : the Rae's equation from Tony's one in order to solve both equations.
You get 5y=35 solve for Y which is 70.
The next step is plug the value you have obtained into any equation to find a solution for x.
Let's take this one :
2x+3(70)=320
x=55

Do hope you will find it helpful!