Two cars, A and B, are traveling in the same direction, although car A is 174 m behind car B. The speed of A is 25.6 m/s, and the speed of B is 18.6 m/s. How much time does it take for A to catch B?
The relative velocity is 25.6-18.6
relative distance to be gained is 174
time=distance/velocity
To find the time it takes for car A to catch car B, we can use the formula:
Time = Distance / Relative Speed
First, let's determine the relative speed of car A with respect to car B. Since they are traveling in the same direction, the relative speed will be the difference between their speeds. So,
Relative Speed = Speed of A - Speed of B
= 25.6 m/s - 18.6 m/s
= 7 m/s
Now, we need to find the distance that car A needs to cover to catch up to car B. Given that car A is 174 m behind car B, this distance will be equal to the initial distance between them.
Distance = 174 m
Substituting the values we obtained into the formula, we have:
Time = Distance / Relative Speed
= 174 m / 7 m/s
≈ 24.9 seconds
Therefore, it will take approximately 24.9 seconds for car A to catch car B.