Two automobiles are 155 kilometers apart and traveling toward each other. One automobile is moving at 70 km/h and the other is moving at 32 km/h. In how many hours will they meet?
70t + 32t = 155 km
102t = 155
t = 1.52 h.
1.52 h
To solve this problem, we can use the concept of relative speed.
Relative speed is the combined speed of two objects moving towards each other.
In this case, the automobiles are moving towards each other, so we need to find their relative speed.
To find the relative speed, we add the speeds of both automobiles.
Relative speed = Speed of the first automobile + Speed of the second automobile
Relative speed = 70 km/h + 32 km/h
Relative speed = 102 km/h
Now that we know the relative speed of the automobiles, we can determine the time it will take for them to meet.
Distance = Speed x Time
In this case, the distance between the automobiles is given as 155 kilometers.
155 km = 102 km/h * Time
To find the time, divide both sides of the equation by the relative speed (102 km/h):
Time = 155 km / 102 km/h
Time ≈ 1.52 hours
Therefore, the two automobiles will meet approximately in 1.52 hours.