Answer: The speed of the veneno is 220 miles per hour.
Step-by-step explanation:
We have the relation:
distance = speed*time.
We can model this situation as:
The cars will pass eachother when the sum of their distances traveled in the given time, 4 hours, is equal to the initial separation between them, 1040 miles.
So we have:
Sv = speed of the veneno.
Sp = speed of the pinto.
Sv*4hours + Sp*4hours = 1040 miles.
Now, we know that:
Sv = Sp + 180mph.
We want to find the speed of the veneno, so we should write:
Sp = Sv - 180mph.
Then we can replace this in our equation as:
Sv*4h + Sp*4h = 1040mi
(Sv + Sp)4h = 1040mi
(Sv + (Sv - 180mph))*4h = 1040 mi
(2*Sv - 180mph)*4h = 1040mi
2*Sv*4h - 720mi = 1040mi
Sv*8h = 1040mi - 720mi = 1760mi
Sv = 1760mi/8h = 220 mi/h
The speed of the veneno is 220 miles per hour.
