two cars 275 miles apart r traveling towards each other. their avg speed differs by 10 mph. they'll meet in 2.5 hrs. what 's the avg speed for each car? how much of the distance will each car travel?

Question

PLEASE HELP I NEED THE ANSWER WITHIN THE HOUR

Answer 1

Let say that one car traveled with x mph speed, then the second car will traveled with (x+10) mph since theirs speed differs by 10.

In 2.5 hrs first car traveled distance is 2.5x and second car traveled distance is 2.5(x+10).

When they met together they traveled entire distance of 275, which means that 2.5x+2.5(x+10)=275

Solve for x:

2.5x+2.5x+25=275

5x=250

x=50

This means that first car traveled with 50 mph and second car traveled with 60 mph.

Using their speed you can calculate distance traveled which are: 50 x 2.5=125 miles for the first car and 60 x 2.5 =150 miles