ava and kelly ran a road race, starting form the same place from the same time. ava ran at an average speed of 6 mph. Kelly ran at an average speed for 8 mph. when will they be 3/4 of a mile apart?
Let's use d to represent the distance they are apart and t to represent the time elapsed. We are given that they start at the same time and place, so their initial distance apart is 0 miles, or d = 0. We want to find the time at which they are 3/4 of a mile apart, so we can set d = 3/4.
We can use the formula:
distance = rate x time
For Ava:
distance = 6t
For Kelly:
distance = 8t
At the time they are 3/4 of a mile apart, we can set these equations equal to each other:
6t = 8t - 3/4
Simplifying:
3/4 = 2t
t = 3/8
Therefore, they will be 3/4 of a mile apart after 3/8 of an hour, or 22.5 minutes.
ava and kelly ran a road race, starting form the same place from the same time. ava ran at an average speed of 6 mph. Kelly ran at an average speed for 8 mph. if kelly finishes the race in 1.5 hours, how long did it take ava to finish the race?
Since Ava and Kelly started and finished the race at the same time, the distance of the race must be the same for both of them. Let's call this distance "d".
We know that Kelly's average speed is 8 mph and she finished the race in 1.5 hours, so we can use the formula:
distance = rate x time
to find the distance of the race:
d = 8 x 1.5
d = 12 miles
Now that we know the distance of the race, we can use the formula:
time = distance / rate
to find out how long it took Ava to finish the race. We know Ava's average speed is 6 mph, so:
time = 12 / 6
time = 2 hours
Therefore, it took Ava 2 hours to finish the race.
viktor left his house biking 18 km per hr. when he was 1/2 km away from the house, alex started biking from the same place at a speed of 24 km per hr. How long will it take alex to catch up to Viktor?
Let's first find out how long it takes Viktor to reach the point where Alex starts biking. We know Viktor is biking at 18 km/hr and has to cover a distance of 0.5 km, so we can use the formula:
time = distance / speed
time = 0.5 km / 18 km/hr
time = 1/36 hours
So it takes Viktor 1/36 hours to reach the point where Alex starts biking.
Now we can set up an equation to find out how long it takes for Alex to catch up to Viktor. Let's call this time "t".
distance Viktor travels after Alex starts biking = distance Alex travels
We know that when Alex starts biking, Viktor is already 0.5 km ahead of him. So the distance Viktor travels after Alex starts biking is:
distance = 0.5 km + (18 km/hr * t)
The distance Alex travels is:
distance = 24 km/hr * t
Setting these two distances equal to each other, we get:
0.5 km + (18 km/hr * t) = 24 km/hr * t
Simplifying:
0.5 km = 6 km/hr * t
t = 0.5/6 hours
t = 5/60 hours
t = 5 minutes
Therefore, it will take Alex 5 minutes to catch up to Viktor.
First, let's determine the relative speed between Ava and Kelly. Since they are running in the same race, we subtract Ava's speed from Kelly's speed:
Relative speed = Kelly's speed - Ava's speed
= 8 mph - 6 mph
= 2 mph
Now, let's calculate the time it takes for them to be 3/4 of a mile apart. We can use the formula:
Distance = Speed × Time
3/4 mile = 2 mph × Time
To find the time, divide both sides of the equation by 2 mph:
(Time × 2 mph) / 2 mph = 3/4 mile / 2 mph
Time = (3/4) mile / (2 mph)
Simplifying the equation:
Time = (3/4) mile * (1/2) mph
= (3/8) hour
Therefore, Ava and Kelly will be 3/4 of a mile apart in (3/8) hour, or 22.5 minutes.
To determine when Ava and Kelly will be 3/4 of a mile apart, we can use the concept of relative speed.
Relative speed is the rate at which one object is moving concerning another object. In this case, we want to find the time it takes for Ava and Kelly to be 3/4 of a mile apart.
To find the relative speed between Ava and Kelly, we subtract Ava's speed from Kelly's speed:
Relative speed = Kelly's speed - Ava's speed
Relative speed = 8 mph - 6 mph
Relative speed = 2 mph
So, relative speed between Ava and Kelly is 2 mph.
Now, we can calculate the time it takes for them to be 3/4 of a mile apart by using the formula:
Time = Distance / Relative Speed
Substituting the values, we get:
Time = 3/4 mile / 2 mph
Time = 0.75 mile / 2 mph
Time = 0.375 hours
To convert this to minutes, we multiply by 60 (since there are 60 minutes in one hour):
Time = 0.375 hours * 60 minutes/hour
Time = 22.5 minutes
Therefore, Ava and Kelly will be 3/4 of a mile apart in approximately 22.5 minutes.