Question 1162900
Let Edward's speed be s.
Let Kate's speed be s+8.
Distance=112 miles
Time=Distance/speed
Edward's time=112/s
Kate's time=112/(s+8)
(112/s)=(1/4)+(112/(s+8))
112(32)=s(s+8)
s^2+8s-3584=0
Solving we get s=56
Edward's speed is 56 mph and Kate's speed is 64 mph respectively.