Thread: Word Problem.

Alright, here is the problem-
Flying against the jetstream, a jet travels 3500km in 5 hours. Flying with the jetstream, the same jet travels 6580km in 7 hours.

What is the speed of the jet in still air, and what is the speed of the jetstream?

So going against the jetstream, the jet gets about 700km/h.
And going with the jetstream, the jet gets 940km/h.

So, how do I find the speed of the jet if there is NO jetstream, and then the speed of the jetstream?

Thanks!

I'm sure this is way less complicated than I am making it seem to be.

Ok, you have already figured out the speed of the jet going both directions and I will trust that you have done those correctly.

With the jetstream = 940 km/h

Against the jetstream = 700 km/h

Let's call the speed of the jet and the speed of the jetstream .

When traveling with the jetstream:



When traveling against the jetstream:



We know that the absolute speed of the jet is the same in both cases, so let's isolate in the first equation:



Now sub that into the second equation:



Solve for y, then sub that value into either of the first two equations to solve for x.

Okay, so I figure the jetstream to equal 120km/h and the speed of the Jet at 820km/h.

Am I right? (just making sure)

Yes you are right, assuming that the velocities you calculated are correct.