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Serga [27]
3 years ago
12

Wo cyclists, 72 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as the other. If they m

eet 4 hours later, what is the speed (in mi/h) of the faster cyclist?
a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable
r
to represent the speed of the slower cyclist.
Mathematics
2 answers:
Trava [24]3 years ago
3 0

Answer:

the faster cyclist was going 18 mph

the slower cyclist was going 9 mph

Step-by-step explanation:

72 ÷ 4 = 18

18 ÷ 2 = 9

kifflom [539]3 years ago
3 0

Answer:

The faster cyclist is 12 m/h

The slower cyclist is 6 m/h

4r + 8r = 72miles

Step-by-step explanation:

The speed of the slower cyclist is r (mph)

The speed of the faster cyclist is 2*r (mph) because he is going 2 times faster than the slower cyclist. Now we know that both start at the same time and after 4 hours of riding they meet each other.

So the distance can be calculated by the next equation:

distance (miles) = velocity (mph) * time (hours)

Slower cyclist:

<em>To get the Distance of the slower cyclist we have to substitute the information we have:</em>

distance = r * 4 hours

distance = 4r

Faster cyclist:

<em>To get the Distance of the faster cyclist we have to substitute the information of the faster cyclist in the equation:</em>

distance = 2r * 4 hours

distance = 8r

Now we know that adding the distance of both cyclists will be 72 miles because that is when both meet after the 4 hours.

So we have the equation:

<em>(distance of the slower cyclist) + (distance of the faster cyclist )= 72</em>

If we substitute:

4r + 8r = 72miles

if we solve by adding:

12r = 72 miles

Now we just have to leave the r alone so we send the 12 to the other side to divide:

r = 72/12

r = 6 m/h this is the speed of the slower cyclist,

To get the speed of the faster cyclist we will have to multiply the speed of the slower time 2 because he is going 2 times faster.

2r = speed of the faster cyclist

2*(6) = 12m/h

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Step-by-step explanation:

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✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

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katrin [286]
<h2>Hello!</h2>

The answer is: The first graphic representation.

<h2>Why?</h2>

We are given a quadratic equation, meaning that it could be two possible solutions for the exercise, however, we are talking about time, so we have to consider only the obtained positive values.

Let's make the equation equal to 0 in order to find the values of "t"

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So, discarding the negative value, we can use the possitive value to find the correct graphic representation.

To find the correct graphic representation we must take into consideration the following:

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From the given quadratic (or parabola) equation we have:

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So, since the coefficient of the quadratic term is negative, the parabola opens downward.

- Since we are looking for a graphic that represents the change in height over time, we need to look for a graphic that shows only positive values for the x-axis (time)

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Therefore, the graphic representation of the quadratic function that models a ball's height over time is the first graphic representation.

Have a nice day!

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Answer:

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Step-by-step explanation:

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