Two cars are 270 miles apart and travel toward each other on the same road. They meet in 3 hours. One car travels 2 mph faster than the other. What's the average speed of each car?A. 42 mph and 44 mphB.44 mph and 46 mphC.41 mph and 43mphD.43mph and 45mph

Answer:B.44 mph and 46 mphStep-by-step explanation:This question is on relative speedwhen cars move towards each other, you add their individual speeds to get their relative speedLets have two cars , A and BLet  car A to have an average speed of x m/h towards the right hand sideLet car B to have an average speed of x+2 m/h towards the opposite directionThe distance between the cars is 270 milesTime of meeting is 3 hoursThe relative speed will be x+x+2=2x+2 miles per hourApply 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 hoursolution44 mph and 46 mph