Ask your own question, for FREE!
Mathematics 46 Online
OpenStudy (anonymous):

5(a+40)=6(a-40)

OpenStudy (anonymous):

are you trying to solve for x?

OpenStudy (anonymous):

this is the problem A plane travels from Orlando to Denver and back again. On the five-hour trip from Orlando to Denver, the plane has a tailwind of 40 miles per hour. On the return trip from Denver to Orlando, the plane faces a headwind of 40 miles per hour. This trip takes six hours. What is the speed of the airplane in still air?

OpenStudy (anonymous):

thats a multiplication sign

OpenStudy (anonymous):

oh okay, let me try to work it out!

OpenStudy (anonymous):

according to your equation a= 440

OpenStudy (anonymous):

if my formula right?

OpenStudy (anonymous):

am suposed to be solving for speed of the airplane in air...

OpenStudy (jim766):

yes it looks right

OpenStudy (anonymous):

it should be

OpenStudy (jim766):

in your formula the a stands for the speed in the dead air

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

a standts for air distance yes.

OpenStudy (jim766):

a stans for the rate r*t = D

OpenStudy (jim766):

5(a+40) is the distance of the way there 4(a-40) is the distance of the way back you make them equal, because the distance there and back are the same

OpenStudy (jim766):

Astrid is correct a = 440 Planes go fast...

OpenStudy (anonymous):

can you please explain how you solved the equation?

OpenStudy (jim766):

start by simpilfying each side of = , distribute 5(a+40) = 4(a - 40) 5a + 200 = 4(a - 40)

OpenStudy (jim766):

then distb the other side 5a + 200 = 6(a - 40) 5a + 200 = 6a - 240 sorry I wrote the wrong number before

OpenStudy (anonymous):

4a-160

OpenStudy (anonymous):

4*40=160

OpenStudy (jim766):

look at the original equation....I typed in the 2nd side wrong the 4 was supposed to be a 6 sorry

OpenStudy (anonymous):

oh yeah your right :

OpenStudy (jim766):

5(a+40) = 6(a - 40) 5a + 200 = 6a - 240)

OpenStudy (jim766):

now how do you get eh a by itself?

OpenStudy (jim766):

hint do the opposte operations

OpenStudy (anonymous):

add a's ?

OpenStudy (jim766):

which one do you want to get rid of...cant have an a on both sides (usually I pick the smaller one)

OpenStudy (jim766):

how do you get rid of 5a?

OpenStudy (anonymous):

I add 240 and 200 thats 440 but what do I do with a?

OpenStudy (anonymous):

dont know :(

OpenStudy (jim766):

what is the opp of 5a? -5a subtract 5a on both sides

OpenStudy (anonymous):

1r=440 ?

OpenStudy (jim766):

right...right....right!

OpenStudy (anonymous):

so that is my final answer right??....:)

OpenStudy (jim766):

5a + 200 = 6a - 240 -5a -5a 200 = a - 240 +240 +240 440 = a

OpenStudy (jim766):

yep , well miles per hour...

OpenStudy (jim766):

440 mph without the wind

OpenStudy (anonymous):

o.O !!! Okroki! thank you so much!

OpenStudy (jim766):

the plane actually flew 480 there 5 hrs and flew 400 back 6 hours

OpenStudy (anonymous):

what???? 480?

OpenStudy (anonymous):

how did you get 480?

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!