Salem and Vernonville are 160 miles apart. A car leaves Salem traveling towards Vernonville, and another car leaves Vernonville
at the same time, traveling towards Salem. The car leaving Salem averages 10 miles per hour more than the other, and they meet after 1 hour and 36 minutes. What are the average speeds of the cars?
1 answer:
Answer:
The speed of car leaves Vernonville = 45 miles per hour
The speed of car leaves Salem = 55 miles per hour
Explanation:
Given that distance between Salem and Vernonville = 160 miles
Lest take speed of car which leaves from Vernonville = V miles per hour
So the speed of car which leaves from Salem = V +10 miles per hour
These two car meet at time = 1 hr 36 min = 1.6 hr
Distance travel by car leaves from Salem = x
x= (V+10) x 1.6 --------1
Distance travel by car leaves from Vernonville = 160 - x
160 - x= V x 1.6 ----------2
From equation 1 and 2
160 - (V+10) x 1.6 = V x 1.6
V= 45 miles per hour
So
The speed of car leaves Vernonville = 45 miles per hour
The speed of car leaves Salem = 55 miles per hour
You might be interested in
From the momentum conservation we know that the initial momentum is equal to the final momentum. The momentum in a singular way can be defined as the product between the mass and the velocity of an object. In the presented system, however, there are two objects, therefore the mass of both and the speed of both, before and after the collision must be taken into account. Mathematically we could describe this as
Here,
= Mass of each object
= Initial velocity of each object
= Final velocity of each object
From here we can realize that it is necessary to use the system on both cars to be able to predict what will happen either with their masses, or their speeds.
The correct answer is C.