Question

NEED HELP with this word problem ASAP!

Answer 1

`t=280\ minutes`

Explanation:

Let's call "v" the speed of the commercial airplane and call "t" at the travel time of the commercial plane

The distance in kilometers of the trip is: 1730 km

Then we know that:

`vt=1730`

Then for the jet we have that the speed is:

`2v`

The flight time for the jet is:

`t-140`

Therefore:

`(2v)(t-140) = 1730`

Substituting the first equation in the second we have to:

`(2*(1730)/(t))(t-140) = 1730`

`((3460)/(t))(t-140) = 1730`

`3460-(484400)/(t) = 1730`

Now solve for t

`(484400)/(t) = 3460 - 1730`

`(484400)/(t) =1730`

`(t)/(484400) =(1)/(1730)`

`t=(484400)/(1730)`

`t=280\ minutes`