Problema Solution

Alex drove 270 miles to the University of Phoenix (UOP) in the same time as Stephanie drove 330 miles to UOP. If Stephanie drove 10 miles per hour faster than Alex, then how fast did each of them drive?

Answer provided by our tutors

Alex speed = xmph: distance = 270 miles

Stephanie speed = x+10 mph: 330 miles

..

time Alex= time Stephanie

t=d/r

270/x=330/(x+10)

cross multiply

270(x+10)=330x

270x+2700=330x


330x-270x=2700

60x=2700

x=2700/60

x=45 mph : speed Alex

45+10 = 55 ... speed ... Stephanie

...