Two cars leave the same location traveling in opposite directions. one car leaves at 3: 00 p. m. traveling at an average rate of 55 mph. the other car leaves at 4: 00 p. m. traveling at an average rate of 75 mph. how many hours after the first car leaves will the two cars be 380 mi apart?

let x represent the number of hours after the first car leaves.

enter an equation that can be used to solve this problem in the first box. solve for x and enter the number of hours in the second box.

55x + 75(x-1) = 380    

After 3.5 hours

Step-by-step explanation:

Two cars leave the same location travelling in opposite directions.

One car leaves at 3:00 p.m. travelling at an average rate of 55 mph.

Other car leaves at 4:00 p.m. travelling at an average rate of 75 mph.

We have to find

Distance traveled by first car + distance traveled by second car = 380 mi

Formula of distance = Speed × time

So the first car travels x hours and the second car travels after one hour so second car travels = x - 1 so the equation will be :

55x + 75(x-1) = 380    

55x + 75x - 75 = 380

130x = 455

x =

x = 3.5 hours

Therefore, After 3.5 hours the cars will have at a distance of 380 miles.