Answer:
It will take 2 hours after person B leaves before they meet
Step-by-step explanation:
Step 1: Determine expression for calculating speed, distance and time
The expression for calculating distance, speed and time is;
d=s×t
where;
d=distance in miles
s=speed in miles per hour
t=time in hours
Step 2: Distance covered by person A after 0.5 hours
In this case;
d=unknown
s=46 miles per hour
t=0.5 hours
replacing;
d=(46×0.5)=23 miles
Step 3: Determine the remaining distance to person B house
Remainder=Total distance-distance already covered by person A
where;
total distance=263 miles
distance already covered by person A=23 miles
replacing;
Remainder=(263-23)=240 miles
Remaining distance to person B house=240 miles
Step 4: The time it will take for them to meet
The only have a distance (d) of 240 miles left to cover
Since they are moving towards the same direction, there speeds (s) are added together=(46+74)=120 miles per hour
replacing in the expression below;
time=distance/speed
time=(240/120)=2 hours
It will take 2 hours after person B leaves before they meet
and the y intercept is -1