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

Formula: V = d / t => d = V*t

Name your relevant variables:

minimum speed limit: v
maximmum speed limit V

1) Tony's distance

2*v + 3.5*V = 355 miles

2) Ray's distance

2*v + 3*V = 300 miles

3) Finding v and V

You have a system of two equations each with the two variables.

You can solve that system by subtracting the second equation from the first one:

=> 0.5V = 55 => V = 55 / 0.5 = 110 mph

Now replace that value of V in any of the equations and solve for v

From the second one: 2v + 3V = 300 => 2v = 300 - 3V = 300 - 3(110) = 300 - 330 = - 30  mph

This value of v indicates that the conditions given are not valid. Both speed should be a positive value.

=> Tony's distance is 2*80 + 3.5*110 = 160 +