From a point on a straight road, two cars are driven in opposite directions, one at 44 miles per hour and the other at 35 miles per hour. In how many hours will they be 237 miles apart?
3 hrs. I drew a picture to help me with this one.
44t + 35t = 237 miles.
79t = 237,
t = 3 hrs.
To find the time it takes for the two cars to be 237 miles apart, we need to divide the distance by the sum of their speeds.
Let's denote the time it takes for the two cars to be 237 miles apart as "t".
Car A is traveling at 44 miles per hour, so the distance it travels in that time is 44t.
Car B is traveling at 35 miles per hour, so the distance it travels in that time is 35t.
Since the two cars are driving in opposite directions, the sum of the distances they travel will equal the total distance between them:
44t + 35t = 237
Combining like terms, we have:
79t = 237
To find t, we divide both sides of the equation by 79:
t = 237 / 79
t = 3
Therefore, it will take 3 hours for the two cars to be 237 miles apart.