Carla and Candice left from the same place at the same time and rode their bikes in the same direction along a straight road . Candice biked at an average speed that was three-quarters of Carla's average speed. After 2 hours they were 28 miles apart. What was the average speed of Carla and Candice ?

Well, it seems like Carla and Candice were in quite a hurry to get some distance between them! Let's put our thinking caps on and figure this out.

Let's call Carla's average speed "x," which means Candice's average speed would be three-quarters of that, or (3/4)x.

Since they biked for 2 hours, we can use the formula distance = speed × time to come up with an equation.

For Carla: distance = x × 2
For Candice: distance = (3/4)x × 2

Given that they were 28 miles apart, we can also write: Carla's distance - Candice's distance = 28.

So, x × 2 - (3/4)x × 2 = 28.

Simplifying this equation, we get 2x - (3/2)x = 28.

To get rid of those pesky fractions, we multiply everything by 2, giving us: 4x - 3x = 56.

Simplifying further, we find that x = 56.

Therefore, Carla's average speed is 56 miles per hour, and Candice's average speed is (3/4) × 56 = 42 miles per hour.

So, Carla could be zooming along like a race car, while Candice is pedaling with a bit less vigor. Just remember, it's all in good fun!

Let's assume the average speed of Carla is x miles per hour.

Since Candice's average speed is three-quarters of Carla's speed, Candice's average speed would be (3/4)x miles per hour.

We know that they biked for 2 hours and were 28 miles apart.
Using the formula speed = distance/time, we can calculate the total distance traveled by Carla and Candice.

Distance traveled by Carla = speed * time = x * 2 = 2x miles
Distance traveled by Candice = speed * time = (3/4)x * 2 = (3/2)x miles

Since they were 28 miles apart, we can write the equation:
Distance traveled by Carla - Distance traveled by Candice = 28 miles
2x - (3/2)x = 28
Multiplying the whole equation by 2 is a way to get rid of the fraction:
4x - 3x = 56
x = 56

Therefore, the average speed of Carla is 56 miles per hour.
And the average speed of Candice is (3/4)*(56) = 42 miles per hour.

So, the average speed of Carla and Candice is 56 miles per hour and 42 miles per hour respectively.

To find the average speed of Carla and Candice, we need to first calculate the distance each of them traveled.

Let's say the average speed of Carla is x mph. Since Candice's average speed is three-quarters of Carla's average speed, Candice's speed is (3/4)x mph.

Both of them rode for 2 hours, so we can calculate the distances using the formula Distance = Speed × Time.

The distance traveled by Carla is (x mph) × (2 hours) = 2x miles.

The distance traveled by Candice is ((3/4)x mph) × (2 hours) = (3/2)x miles.

Given that they were 28 miles apart, we can set up an equation: 2x - (3/2)x = 28.

To solve for x, we can simplify the equation: (4/2)x - (3/2)x = 28, which gives us (1/2)x = 28.

Now, we can multiply both sides of the equation by 2 to get rid of the fraction: x = 28 × 2 = 56.

Therefore, Carla's average speed is 56 mph and Candice's average speed is (3/4) × 56 = 42 mph.

So, the average speed of Carla and Candice is 56 mph for Carla and 42 mph for Candice.

they separated at 14 mi/hr

That speed was 1/4 of Carla's speed.
So, Carla rode at 56 mi/hr
Candice rode at 42 mi/hr