Question 41128
First you need to find the equation to work this problem

We will let the second planes flying time be equal to x

So if the first plane took 1 hour longer it would be x + 1

Now the formula to find speed is distance divided by time since the speeds are equal we need to find what that equation would be.

second planes speed is {{{480 / x}}}

The first planes speed is {{{560 / (x + 1)}}}

The problem said that the speed was the same so now we can set these two equations equal to each other

{{{480 / x = 560 / (x + 1)}}}

You then need to cross multimply

{{{480*(x+1)=560*x}}}

{{{480x+480=560x}}}

Then you subtract 480x from both sides

{{{480=80x}}}

Then you divide both sides by 80 to get x by itself

{{{x=6}}}

So the flight time of the second plane is 6 hours and the flight time of the other plane is 7 hours.