MATHEMATICS MIDDLE SCHOOL

a commercial jet and a private airplane fly from Denver to phoenix. it takes the commercial jet 1.1 hours for the flight, and it takes the private airplane 1.8 hours. the speed of the commercial jet is 210 miles per hour faster than the speed of the private airplane. Find the speed of both airplanes

Answers

Answer 1

Answer:

The speed of thecommercial jet is $540mi/h$ while the speed of the private airplane is $330mi/h$

Step-by-step explanation:

Let's name the commercial jet as cj and private airplane as pa, so we know the following:

It takes the commercial jet 1.1 hours for the flight, so:

$t_(cj)=1.1h$

It takes the private airplane 1.8 hours for the flight, so:

$t_(pa)=1.8h$

The speed of the commercial jet is 210 miles per hour faster than the speed of the private airplane:

Let's name the speed of the commercial jet as $v_(cj)$ and the speed of the private airplane as $v_(pa)$ , then:

$v_(cj)=v_(pa)+210$

From physics we know that:

$v=(d)/(t) \n \n Where: \n \n v: \ speed \n \n d: \ distance \n \n t: \ time$

Since the distance from Denver to phoenix is unique, then:

$d_(cj)=d_(pa)=d$

Thus, from the equation $v_(cj)=v_(pa)+210$ and given the relationship $v=(d)/(t)$ we have:

$v_(cj)=v_(pa)+210 \n \n (d)/(t_(cj))=(d)/(t_(pa))+210 \n \n \n Plug \ in \ t_(cj)=1.1 \ and \ t_(pa)=1.8 \ then: \n \n (d)/(1.1)=(d)/(1.8)+210 \n \n Isolating \ d: \n \n d((1)/(1.1)-(1)/(1.8))=210 \n \n (35)/(99)d=210 \n \n d=(99* 210)/(35) \n \n d=594miles$

Finally, the speeds are:

$\bullet \ v_(cj)=(d)/(t_(cj)) \n \n v_(cj)=(594)/(1.1) \therefore \boxed{v_(cj)=540mi/h} \n \n \n \bullet \ v_(pa)=(d)/(t_(pa)) \n \n v_(pa)=(594)/(1.8) \therefore \boxed{v_(pa)=330mi/h}$

Related Questions

If x = 9 and y = -2 what’s 10 + 5xy

Answers

Answer:

10 + 5xy = -80

Step-by-step explanation:

10 + 5xy = ?

x = 9 and y = -2

10 + 5xy = 10 + 5(9)(-2)

= 10 - 90

= -80

Write an inequality for
A farmer weighs a dozen chicken eggs. The heaviest egg is 56g.

Answers

The inequality that represents the maximum weight of the dozen eggs of the farmer is; w ≤ 672

How to write inequalities?

We are told that a farmer weighs a dozen chicken eggs.

Now, we see that the heaviest of the weighed dozen chicken eggs is gotten to be 56 g.

Thus, if the heaviest is 56 g, then the maximum weight of all the 12 eggs in a dozen is;

Maximum weight of eggs = 56 * 12

Maximum weight of eggs = 672

Thus, the required inequality is;

w ≤ 672

where w is weight of all 12 eggs.

Read more about Inequalities at; brainly.com/question/25275758

Answer:672

Step-by-step explanation:just multiply a dozen by 56

Factors of -96 that add up to -10

Answers

Positive six and negative sixteen

Can someone please help me on this one?

Answers

i think it might be the first one but i am not sure

the answer is the second one

As you can see when it is 0hour the temperature is4

when it is 1hour ,it dropped to3.5

As you can see the temperature decrease by0.5 degrees every hour

Do all parallelograms have four sides?

Answers

YES, all parallelograms have four sides

Yes they all 4 sides

What is 925 divided by 8 with remainders please help my homework is due tomorrow

Answers

925 ÷ 8
9 ÷ 8 = 1 r1
put 1 before the 2 = 12
12 ÷ 8 = 1 r 4
4 before 5 = 45
45 ÷ 8 = 5 r 5
So it's 115 r 5

115 and 5/8 refered

Other Questions

Bonita said that the product of 5/6 × 1 2/3 is 7/3.How can you tell that her answer is wrong?A-The answer must be less than 5/6.B-The answer cannot be an improper fraction.C-5/6 of a number cannot be greater than the number.D-The denominator cannot be the same as one of the factors.

Determine whether the following relation represents a function. If it is a function, state the do{(-8,-3), (-9,4), (1,1), (4,4)}Does the given relation represent a function?YesΝο

Big Al, the ape, ate 100 bananas from May 1 through May 5. Each day he ate six more bananas than on the previous day. How many bananas did Big Al eat on May 5?

Tennis racket marked up 50% to 36.75 what is the original price