Two cars start at the same time but travel in opposite directions. One car avaerage speed was 20mph at the end of 2 hours the two cars are 200 miles apart. Find the avatars speed in mph of the other car.
d1 + d2 = 200.
20mi/h * 2h + r*2 = 200
40 + 2r = 200
r = 80 mi/h.
Let's say the average speed of the other car is v mph.
The first car traveled for 2 hours at 20 mph, so it covered a distance of 2 * 20 = 40 miles.
The combined distance covered by both cars is 200 miles.
Since the cars are traveling in opposite directions, the distance covered by the second car would be the total distance (200 miles) minus the distance covered by the first car (40 miles), which is 200 - 40 = 160 miles.
The time taken by the second car to cover this distance is also 2 hours.
So, the average speed of the second car (v) can be calculated using the formula: average speed = distance / time.
v = 160 miles / 2 hours = 80 mph.
Therefore, the average speed of the other car is 80 mph.
To find the average speed of the other car, we can use the formula:
Average Speed = Total Distance / Total Time
We know that the total distance between the two cars is 200 miles, and the total time is 2 hours. We also know the average speed of one car is 20 mph at the end of 2 hours. Let's denote the average speed of the other car as 'x' (in mph).
Since the two cars are travelling in opposite directions, their individual speeds add up to the total distance travelled in 2 hours.
So, the total distance travelled by the first car in 2 hours is (20 mph * 2 hours) = 40 miles.
The total distance travelled by the second car in 2 hours is (x mph * 2 hours) = 2x miles.
Since the total distance travelled by both cars is 200 miles, we can write the equation:
40 miles + 2x miles = 200 miles
Now, let's solve for the speed of the other car 'x'.
40 + 2x = 200
Subtract 40 from both sides:
2x = 200 - 40
2x = 160
Divide both sides by 2:
x = 160 / 2
x = 80
Therefore, the average speed in mph of the other car is 80 mph.