Question

NEED HELP with this word problem ASAP!

Answer 1

Answer:

$t=280\ minutes$

Step-by-step 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:

$(2*\frac{1730}{t})(t-140) = 1730$

$(\frac{3460}{t})(t-140) = 1730$

$3460-\frac{484400}{t} = 1730$

Now solve for t

$\frac{484400}{t} = 3460 - 1730$

$\frac{484400}{t} =1730$

$\frac{t}{484400} =\frac{1}{1730}$

$t=\frac{484400}{1730}$

$t=280\ minutes$