Two cars traveled in opposite directions from the same starting point. The rate of one car is 80 km/h and the other is 70km/h. How long will it take them to be 600 km apart?
To find the time it will take for the two cars to be 600 km apart, we need to add their distances covered together.
The first car is traveling at a rate of 80 km/h. Since distance = rate * time, we can express the distance covered by the first car as 80t, where t is the time in hours.
Similarly, the second car is traveling at a rate of 70 km/h, and its distance covered can be expressed as 70t.
Since the two cars are traveling in opposite directions, we can add their distances to get the total distance apart: 80t + 70t = 150t.
We need this total distance to be equal to 600 km, so we have the equation 150t = 600.
To solve for t, we divide both sides of the equation by 150: t = 600/150 = 4 hours.
Therefore, it will take them 4 hours to be 600 km apart.
To find out how long it will take the two cars to be 600 km apart, we can use the formula:
Time = Distance / Rate
Let's calculate the time separately for each car:
For the first car traveling at a rate of 80 km/h:
Time = 600 km / 80 km/h
Time = 7.5 hours
For the second car traveling at a rate of 70 km/h:
Time = 600 km / 70 km/h
Time = 8.57 hours (rounded to two decimal places)
Therefore, it will take approximately 7.5 hours for the two cars to be 600 km apart.
To find the time it will take for the two cars to be 600 km apart, we can use the formula:
Time = Distance / Relative Speed
Here, the distance between the two cars is 600 km. The relative speed of the cars is the sum of their individual speeds as they are traveling in opposite directions.
Relative Speed = 80 km/h + 70 km/h = 150 km/h
Now, we can substitute the values into the formula to calculate the time it will take:
Time = 600 km / 150 km/h
Time = 4 hours
Therefore, it will take the two cars 4 hours to be 600 km apart.