one of your friends is heading north for a holiday and the other is heading south . If their destinations arre 1029 miles apart and one car is traveling at 45 miles per hour and the other is traveling at 53 miles per hour . How many hours before the two cars pass each other ?
They don't start in the same place though .
They have to past each other because its oppsite direction and at one point they will pass each other and go on .
As in the one starting at north is heading south and the other one starting at south is heading north .
To find out how many hours before the two cars pass each other, we can use the concept of relative velocity. The relative velocity is the combined speed at which one car approaches the other.
Let's consider the car heading north as Car A, traveling at 45 miles per hour, and the car heading south as Car B, traveling at 53 miles per hour.
Since they are moving towards each other, we can add their speeds to calculate their relative velocity:
Relative Velocity = Speed of Car A + Speed of Car B
Relative Velocity = 45 mph + 53 mph
Relative Velocity = 98 mph
Now that we know their relative velocity, we can determine the time it takes for them to cover the distance of 1029 miles.
Time = Distance / Relative Velocity
Time = 1029 miles / 98 mph
Calculating this, we find:
Time = 10.5 hours
Therefore, it will take approximately 10.5 hours before the two cars pass each other.