One of your friends is heading north for the Christmas holiday and the other friend is heading south. If their destinies are 1029 miles apart and one car is traveling at 45 miles per hour and the other car is traveling at 53 miles per hour. How many hours before the two cars pass each other?
d1 = r1*t = 45t,
d2 = r2*t = 53t,
d1 + d2 = 1029,
45t + 53t = 1029,
98t = 1020,
t = 1029 / 98 = 10.5 hours.
To find out how many hours it will take for the two cars to pass each other, we can use the concept of relative speed.
First, let's find the relative speed at which the two cars are approaching each other.
Since one car is traveling north and the other is traveling south, their relative speed is the sum of their individual speeds.
Relative speed = 45 mph + 53 mph = 98 mph
Now we can use the formula: time = distance / speed
In this case, the total distance between the two cars is 1029 miles. The relative speed at which they are approaching each other is 98 mph.
Therefore, the time it will take for the two cars to pass each other is:
time = 1029 miles / 98 mph ≈ 10.5 hours
So, it will take approximately 10.5 hours before the two cars pass each other.