Question

Marina drove 288 miles in the same amount of time it took Jaime to drive 312 miles. If Jaime drove 6 miles per hour faster than Marina, at which speeds were Jaime and Marina traveling?

Answer 1

Let X = Marinas speed in MPH

Let T = Time

T=288/X
 312=(X+6)T
312=(X+6)(288/X)
312=288X/X+1728/X
312=288+1728/X
312-288=1728/X
24=1728/X
24X=1728

X=1728/24
X=72 MPH  FOR MARINA

 72+6=78 MPH FOR JAMIE