Two cars leave town at the same time going in opposite direactions.One travels 44 mi/h and the other 55 mi/h. In how many hours will they be 297 miles apart?
Let that time be t hours
then
44t + 55t = 297
99t = 297
t = 297/9
= 37 hours
check: in 3 hours first car went 3(44) or 132 mi
second car went 3(55) or 165 miles
total = 297 , close enough
I think that's right
To find the time it takes for the two cars to be 297 miles apart, we can use the concept of relative velocity. The relative velocity is the sum of the velocities of the two cars.
Since the cars are traveling in opposite directions, their relative velocity is the sum of their individual velocities: 44 mi/h + 55 mi/h = 99 mi/h.
To find the time it takes for the cars to be 297 miles apart, we divide the distance by the relative velocity: 297 miles / 99 mi/h = 3 hours.
Therefore, it will take 3 hours for the two cars to be 297 miles apart.