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nikitadnepr [17]
2 years ago
12

Two airplanes leave an airport at the same time, flying in the same direction. One plane is flying at twice the speed of the oth

er. If after 4 hours they are 1800 km apart, find the speed of each plane.
Mathematics
1 answer:
Vsevolod [243]2 years ago
7 0

Answer:

The slower plane has a speed of 450 km/h and the faster one has a speed of 900 km/h.

Step-by-step explanation:

Two planes:

The first one's speed is x

The second is y.

One plane is flying at twice the speed of the other.

I will say that y = 2x.

Two airplanes leave an airport at the same time, flying in the same direction

Same direction, so their relative speed is the subtraction of their speeds. 2x - x = x.

Means that after 1 hour, they will be x miles apart.

If after 4 hours they are 1800 km apart, find the speed of each plane

After 1 hour, x km apart. After 4, 1800. So

1 hour - x km apart

4 hours - 1800 km apart

4x = 1800

x = 1800/4

x = 450

2x = 2*450 = 900

The slower plane has a speed of 450 km/h and the faster one has a speed of 900 km/h.

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For example, take this theorem.

If two sides of a triangle<span> are congruent, then the angles opposite those sides are congruent.
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3 years ago
Which equation has the following characteristics?
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2 years ago
It cost $36 per person if 75 people rent the bus. How much will it cost per person if 100 people rent.
motikmotik

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6 0
2 years ago
find x if the distance between points L and M is 15 and point M is located in the first quadrant. L=(-6,2) M=(x,2)​
aivan3 [116]

Answer:

Therefore,

x = 9

Step-by-step explanation:

Given:

Let,  

point L( x₁ , y₁) ≡ ( -6 , 2)

point M( x₂ , y₂ )≡ (x , 2)

l(AB) = 15 units  (distance between points L and M)

To Find:    

x = ?

Solution:  

Distance formula between Two points is given as

l(LM)^{2} = (x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}

Substituting the values we get

15^{2}=(x--6)^{2}+(2-2)^{2}\\\\225=(x+6)^{2}

Square Rooting we get

(x+6)=\pm \sqrt{225}=\pm 15\\\\x+6 = 15\ or\ x+6 = -15\\\\x= 9\ or\ x = -21

As  point M is located in the first quadrant

x coordinate and y coordinate are positive

So x = -21 DISCARDED

Hence,

x = 9

Therefore,

x = 9

3 0
3 years ago
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