Answer:
Option A is correct
2 hours, 142 miles
Step-by-step explanation:
As per the statement:
The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below:
Car A
y = 55x + 32 ....[1]
Car B
y = 42x + 58 ....[2]
We have to find after how many hours will the two cars be at the same distance from their starting point.
Since, two cars be at the same distance
equate [1] and [2] ;
⇒\(55x+32 = 42x+58\)
Subtract 42x from both sides we have;
⇒\(13x+32 =58\)
Subtract 32 from both sides we have;
\(13x=26\)
Divide both sides by 13 we have;
x = 2 hours
Substitute in [1] we have;
\(y = 55(2)+32 = 110+32 = 142\) miles
Therefore, after 2 hours will the two cars be at the same distance from their starting point and 142 miles will that distance be
