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3 years ago

Work out Ryan’s average speed for his total return journey detailing how you worked it out.

Mathematics

1 answer:

pickupchik [31]3 years ago

7 0

Answer:

For the return, i guess that you say in the interval between 15:40 and 15:45, that is the moment where he goes back to his home, and pass through the local shop.

Ok, in the graph we can see pairs (time, position)

The average speed can be obtained with two of these pairs, and the average speed is:

As = (position2 - position1)/(time2 - time1)

In this particular case, we have the pairs:

(15:40, 900m) and (15:45, 400m)

(i guess that the distance is in meters)

Then the average speed is:

As = (900m - 400m)/(15:45 - 15:40)

and 15:45 - 15:40 = 0.5 minutes.

As= 500m/5 min = 100 m/min

This means that the average speed in this return is 100 meters per minute

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Two cars simultaneously left Points A and B and headed towards each other, and met after 2 hours and 45 minutes. The distance be

Oksana_A [137]

<h2>Hello!</h2>

The answers are:

$FirstCarSpeed=41mph\\SecondCarSpeed=55mph$

To calculate the speed of the cars, we need to write two equations, one for each car, in order to create a relation between the two speeds and be able to calculate one in function of the other.

So,

Tet be the first car speed "x" and the second car speed "y", writing the equations we have:

For the first car:

$x_{FirstCar}=x_o+v*t$

For the second car:

We know that the speed of the second car is the speed of the first car plus 14 mph, so:

$x_{SecondCar}=x_o+(v+14mph)*t$

Now, from the statement that both cars met after 2 hours and 45 minutes, and the distance between to cover (between A and B) is 264 miles, so, we can calculate the relative speed between them:

If the cars are moving towards each other the relative speed will be:

$RelativeSpeed=FirstCarSpeed-(-SecondCarspeed)\\\\RelativeSpeed=x-(-x-14mph)=2x+14mph$

Then, since we know that they covered a combined distance equal to 264 miles in 2 hours + 45 minutes, we have:

$2hours+45minutes=120minutes+45minutes=165minutes\\\\\frac{165minutes*1hour}{60minutes}=2.75hours$

Writing the equation:

$264miles=(2x+14mph)*t\\\\264miles=(2x+14mph)*2.75hours\\\\2x+14mph=\frac{264miles}{2.75hours}\\\\2x=96mph-14mph\\\\x=\frac{82mph}{2}=41mph$

So, the speed of the first car is equal to 41 mph.

Now, for the second car we have that:

$SecondCarSpeed=FirstCarSpeed+14mph\\\\SecondCarSpeed=41mph+14mph=55mph$

We have that the speed of the second car is equal to 55 mph.

Hence, the answers are:

$FirstCarSpeed=41mph\\SecondCarSpeed=55mph$

Have a nice day!

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3 years ago

What does f equal in the equation:<br> -4(2f-6)=-9f+7f

brilliants [131]

Answer: f = 4

Step-by-step explanation:

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3 years ago

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Viefleur [7K]

A? 4? i think that might be it

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4 years ago

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I had four numbers: 12, 8, 4, and ????? However, I remember that their average was 11. Please, help me to remember the number th

Anestetic [448]

Answer:

The number was 20

Step-by-step explanation:

As the average is 11 and the numbers are 4, so the total sum of numbers will be 11X4=44. now the sum of three numbers are (20+8+4)=24. So the last number will be= (44-24)=20. :)

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3 years ago

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Mumz [18]

Answer: 31.25 cm^2

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4 years ago