Answer:
B.44 mph and 46 mph
Step-by-step explanation:
This question is on relative speed
when cars move towards each other, you add their individual speeds to get their relative speed
Lets have two cars , A and B
Let car A to have an average speed of x m/h towards the right hand side
Let car B to have an average speed of x+2 m/h towards the opposite direction
The distance between the cars is 270 miles
Time of meeting is 3 hours
The relative speed will be x+x+2=2x+2 miles per hour
Apply the formula for time=Distance/speed =D/S
[tex]t=\frac{D}{S} \\\\\\3=\frac{270}{2x+2} \\\\\\3(2x+2)=270\\\\\\6x+6=270\\\\\\6x=270-6\\\\\\6x=264\\\\\\x=\frac{264}{6} =44[/tex]
x=44 miles per hour
x+2=44+2=46 miles per hour
solution
44 mph and 46 mph
