Question

WILL AWARD MEDALS NEED FAST HELP WITH A FEW WORD PROBLEMS!!! DESPERATE!!
Flying against the jetstream, a jet travels 4200 mi in 4 hours. Flying with the jetstream, the same jet travels 11,790 mi in 9 hours. What is the rate of the jet in still air and what is the rate of the jetstream?

Answer 1

4200 miles in how many hours?

Answer 2

You didn't write in the question

Answer 3

4 hrs

Answer 4

Fixed it. Sorry

Answer 5

First, lets start off by taking variables
let x be the speed of jet in still air
let y be the speed of jetstream
also x>y otherwise jet would not be able to fly
Now, can you please calculate the speed for both the cases?the distance and time is given
\[s=\frac{d}{t}\]

Answer 6

s = 4200/4 = 1050
s = 11,790/9 = 1310

Answer 7

ok, good

Answer 8

x = 1310 & y = 1050.
That is really it?

Answer 9

when flying against the jetstream, the speed of the jetstream offers resistance to the jet, so the speed of jetstream is subtracted from the actual speed of the jet,
so speed of jet against stream=speed of jet-speed of jetstream
\[x-y=1050\]
When flying with the stream, the speeds are added up so,
speed with stream=actual speed of jet+speed of jetstream
\[x+y=1310\]

Answer 10

solve these equations to find x and y, can you do that?

Answer 11

1310 - 1050 = 260



1310+1050 = 2360

Answer 12

Doesn't feel right

Answer 13

x is not 1310 and y is not 1050, those are the values we calculated to make an equation

Answer 14

you are supposed to FIND x and y using those equations

Answer 15

s = 4200/4 = 1050
s = 11,790/9 = 1310

1310-1050 = 260

1050 + 260 = 1310
1310 - 260 = 1050

Answer 16

don't put 1310 and 1050 in place of x and y, you don't know those values
here's how you're supposed to do it
\[x-y+x+y=1050+1310\]
notice the lhs of both equations are added, rhs of both equations are added

Answer 17

2x + 2y = 2360
590

Answer 18

the y's get cancelled
\[2x=1360\]

Answer 19

2/1680 = 680
x=680

Answer 20

y = 590
x = 680

Answer 21

sorry\[2x=2360\]

Answer 22

2/2360 = 1180
x=1180
y = 590

Answer 23

\[x+y=1310\]\[y=1310-x\]\[y=1310-1180\]\[y=130\]

Answer 24

x = 1180
y = 130

Answer 25

Yep, notice that x>y as I stated earlier

Answer 26

units are miles/hour

Answer 27

don't forget to write your units, they are important

Answer 28

yes. x = 1180 still air y = 130 speed of jet stream

Answer 29

Thank you 100%!! I have more but don't want to tax you!