Question

Two cars are 261 miles apart and travel toward each other on the same road. They meet in 3 hours. One car travels 3 mph faster than the other. What is the average speed of each car?

Answer 1

Let the speed of first car be x mph
the speed of the second one is (x+3) mph
Relative speed=x+x+3=(2x+3) mph
but
time=distance/speed
thus
3=(261)/(2x+3)
solving for x we get:
3(2x+3)=261
6x+9=261
6x=261-9
6x=252
hence:
x=42 mph

Thus the average speed of first car is 42 mph
Average speed of the second car is (42+3)=45 mph