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Question 140/1 pt 03 39gAn airplane travels 720 miles in 3 hours with the wind The return trip against the wind takes 4 hours What ' is the wind speed and the ...

Question

Question 140/1 pt 03 39gAn airplane travels 720 miles in 3 hours with the wind The return trip against the wind takes 4 hours What ' is the wind speed and the speed ofthe alrplane in stil . ali?The speed of the alrplane Is The' wind speed Ismiles per hourmiles per hour

Question 14 0/1 pt 03 39g An airplane travels 720 miles in 3 hours with the wind The return trip against the wind takes 4 hours What ' is the wind speed and the speed ofthe alrplane in stil . ali? The speed of the alrplane Is The' wind speed Is miles per hour miles per hour



Answers

A plane flew $720 \mathrm{mi}$ in 3 hr with the wind. It would take 4 hr to travel the same distance against the wind. What is the speed of the plane in still air and the speed of the wind?

We have problem number 231 which is from the chapter solving linear equations. System of equations from the algebra. Okay, so we have uh problem is about the jet. Yeah. Okay. Okay. Yes. So we need to to find the speed of getting is still here and speed of the wind. So it is assumed let X equal to speed. Uh huh. Gypped. And still air. And why call to speed of the wind? Okay. Yeah. So it has given that a small jet flies 1072 miles and for hours with tailwind. Okay, so if it is delving and so this wind will support the jet. So X. Plus, why will be the relative speed? And from the question? It is it will be the distance by time 1 72 by four. 1072 by four. That is ah Okay. 25. 26. 268. Yes. So X. Plus, why is 260 68 problem number. This is a question number one. And for headwind. Yeah. Had went headwind. Men's. The Air will repel our air will produce fiction for the jet. So it will be speed object minus speed of the wind. So X minus Y. And according to the question it will be 848 by four. 848 by four. That is 200 12 through X minus Y. Equal to 212. The same question number two let us we have to find the value of X and Y. So let us add a question number one and two. We will be getting two X equal to Because why and why? We get canceled out will be equal to two plus 2, 418. 480. So access 240. Yeah. Okay. So if you subtract, if we subtract two from equation number one we will be having to I called to 268 minus 212. So 56. So why call to 28? Right X. And that is the speed of the jet in still air will be equal to 240 240 MPH. And pitch and speed of the vent 28 mps. These are the answers. Thank you so much.

Given the distance They were by that in L wind. Yes, 1072 months In the distance. There were by deputy head wind days. Yes, 848 months. Each strip makes four hours. Therefore time is yes, it was too four hours left. Expedia speed. Oh that's it in still. A and why with the speed of the Yeah. Yes. In tail wind the wine has the dead and saw. The rate is as equals to speed of the jet. In still air X the speed of the air white and in red wine rate is because to X minus why? Since the wine slows the debt, we know distance is equals to rate into Okay. Therefore in tail wind distance is 1,072 is he goes to rate is X plus Y into time is sure. Therefore X plus Y. Yes, he goes to 1072 divided by four. Therefore X minus sorry, X plus y. Yes, it was too to 60 eight. Let's say this is equation number one in headline Direct is x minus Y into time. Is four. is equals two distances 8 48. Therefore X minus Y. Is he goes to 848 divided by four. This is equals two. X -Y is equal to 212. Yes, sir. This is the equation number who now adding equation number one and equation number two. Therefore X plus Y plus X. And that's why is supposed to to 68 plus 200 do it. Yeah. Last y minus Y. Get cancer. So twice X. S. Equals two. Cool 50. So x. s equals two for a deep divided by two. If it was true, 2 40. No substituting the value of X in X plus Y equals 2 to 68. So access to 40 last way is supposed to to 68 therefore Why is equals two to 68 -240 because to 20 eight therefore, the speed of the of the dead in that steve. Yeah. Yes. 2 40 miles. But all right. And feed off the wind. Sorry, bit of the wine is equal to 28. Nice. But our

And this problem, I want to determine the speed of the jet in still air and then also the speed of the wind. So I'm gonna start by assigning some variables X. Is gonna equal my still air speed and why is going to equal the wind speed. And next I want to look at what's the speed of the tailwind journey? So 1320 divided by three hours Is 440 mph. And then for headwind We have 1170 divided by three. So this is 390 mph. So if I'm traveling with the wind it's gonna make me go faster. X plus Y is gonna equal 440 and then if I'm traveling against the wind it's gonna make me go slower. X -Y equals 390. Now I can use elimination to solve this equation, I'm gonna add these together. X plus X is two X, eliminating the wise And then 440 plus 3 90 is equal to 830. Then I want to take that 830 and divide it by two. So x equals 415. So the still air speed of the plane is equal to 415 mph. Now I want to look at the speed of the wind. So many is this equation here, but instead of X-plus Y, it's going to be 415 plus Why equals 440. Someone take 440 and subtract the 415 Y equals 25. So the wind speed Is 25 mph.

All right. So in this situation we have a plane that can go 450 miles with the wind. So 450 with the wind of 15 miles an hour is going to be X plus 15. That same plane can only go 375 miles when it is going against the wind. And so that creates our proportion that we can now cross multiply. So we get 450 X money is 6750. He goes 3 75 x plus 5625. Subtracting gives us 75 X equal to adding that over 12,375. Dividing tells me that the speed mm of my plane is going to be 100 and 65 MPH.


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