Answer:
The speed of slower car is 55 miles per hour.
Step-by-step explanation:
Given as :
The speed of slower car =
= s mph
The speed of faster car =
= ( s + 20 ) mph
The distance cover by slower car =
= 165 miles
The distance cover by faster car =
= 225 miles
The time taken by both cars for travelling = t hours
The speed of the cars remains constant
Now, <u>According to question</u>
∵ Time = 
So,<u> For slower car</u>
t = 
Or, t =
............1
So, For faster car
t = 
Or, t =
............2
Now, equating both the equations
I.e
=
<u>By cross multiplying</u>
Or, 225 × s = 165 × (s + 20)
Or, 225 s = 165 s + 3300
Or, 225 s - 165 s = 3300
Or, 60 s = 3300
∴ s = 
I.e s = 55 miles per hour
So , The speed of slower car =
= s = 55 miles per hour
Hence , The speed of slower car is 55 miles per hour. Answer