Answer:
1400 miles
Step-by-step explanation:
Speed is the time rate of change of distance. It is the ratio of distance to time and is given by the equation:
[tex]Speed(S) = \frac{distance(d)}{time(t)}\\ S=\frac{d}{t}[/tex]
plane averaged 400 mph on a trip going east, but only 280 mph on the return trip.
The time spent (t₁) in going east is given by:
[tex]S=\frac{d}{t_1}\\ t_1=\frac{d}{S} =\frac{d}{400mph}[/tex]
The time spent (t₂) in going east is given by:
[tex]S=\frac{d}{t_2}\\ t_2=\frac{d}{S} =\frac{d}{280mph}[/tex]
The total time (t) = t₁ + t₂
t = t₁ + t₂ = 8.5 hours
[tex]\frac{d}{400}+\frac{d}{280} =8.5\\280d+400d=952000\\680d=952000\\d=1400miles\\[/tex]
Therefore the one way distance is 1400 miles
