Answer
t = 2.5 hours
Explanation
Let the distance from the 55 mph car to where the two cars will meet be x miles.
Then, that distance from the 65 mph car will be (300 - x) miles.
The time that they would both meet is common to the two cars and is t.
Speed = (Distance/Time)
For the 55 mph car
55 = (x/t)
x = 55t ........ (equation 1)
For the 65 mph car
65 = (300 - x)/t
300 - x = 65t
We can substitute the value of x from equation 1 into the second equation
300 - x = 65t
300 - 55t = 65t
65t = 300 - 55t
65t + 55t = 300
120t = 300
Divide both sides by 120
(120t/120) = (300/120)
t = 2.5 hours.
Hope this Helps!!!
