The formula d = 52t + 65t can be used to find the distance, d , between two cars after traveling t hours in opposite directions. After how many hours will the distance between the two cars be 234 miles?
We can begin by substituting d = 234 into the formula:
234 = 52t + 65t
Simplifying, we get:
234 = 117t
Dividing both sides by 117, we get:
t = 2
Therefore, after 2 hours of driving in opposite directions, the distance between the two cars will be 234 miles.
To find the number of hours required for the distance between the two cars to be 234 miles, we can set up the equation:
d = 52t + 65t
We need to solve for t when d = 234. Substituting the values into the equation:
234 = 52t + 65t
Combining like terms:
234 = 117t
Dividing both sides of the equation by 117:
234/117 = t
Simplifying:
2 = t
Therefore, after 2 hours, the distance between the two cars will be 234 miles.
To find the number of hours after which the distance between the two cars will be 234 miles, we need to solve the equation:
d = 52t + 65t
Given that the distance, d, is 234 miles, we can substitute this value into the equation:
234 = 52t + 65t
Now, we can combine like terms:
234 = (52 + 65)t
Simplifying further:
234 = 117t
To isolate the variable t, we can divide both sides of the equation by 117:
234/117 = t
Simplifying:
2 = t
Therefore, after 2 hours, the distance between the two cars will be 234 miles.