Fox and Bob traveled g miles in x hours.

Question

Then they increased their speed by p miles per hour. How far could they go in ax hours at the new rate?

Answer 1

rate * time = distance

 

original equation: (g/x) *x =g

 

new equation: (p+g/x) *ax = (p/1+g/x) *ax = (px/x + g/x) *ax = ((px+g)/x) *ax = ((apx^2)+agx)/x = apx+ag

 

I hope this helps!

Answer 2

Initial speed: g/x  MPH

increased speed is: (g/x +p) MPH

Distance they will cover in ax hr is

distance = (ax)(g/x +p) = ag +apx = a(g +px) miles