Answer:
first trip 20 mph, trip back 35 mph, distance = 70 miles.
Step-by-step explanation:
A round trip takes 3.5 hours going one way and 2 hour to return.
Let the speed of first trip = v mph
Given that the trip back is at a speed 15 mph faster than the speed of first trip.
Therefore, the speed of trip back = ( v+15 ) mph
Let the Distance between places = d miles
Now we use the formula
[tex]Time=\frac{Distance}{Velocity}[/tex]
[tex]\frac{Distance}{Velocity}[/tex] = 3.5
and [tex]\frac{D}{V+15}[/tex] = 2
dividing these two
[tex]\frac{v+15}{v}[/tex] = [tex]\frac{3.5}{2}[/tex]
2v + 30 = 3.5v
v = 20 mph
d = 3.5 × 20 = 70 miles
The speed of the first trip is 20 mph and the speed of trip back (20+15) 35 mph. and the distance is 70 miles.
