A plane took 1 hour longer to travel 560 miles....

[dkarolasz]

Could someone help me set this up.

A plane took 1 hour longer to travel 560 miles on the first portion of a flight than it took to fly 480 miles on the second portion. If the speed was the same for each portion, what was the flying time for the second part of the trip?

 

[pka]

\(\displaystyle \L
\begin{array}{l}
d = rt\quad \Rightarrow \quad r = \frac{d}{t} \\
\text{so} \\
\frac{{560}}{{t + 1}} = \frac{{480}}{t} \\
\end{array}\)

 

[tkhunny]

Re: word problem

Could someone help me set this up.

A plane took 1 hour longer to travel 560 miles on the first portion of a flight than it took to fly 480 miles on the second portion. If the speed was the same for each portion, what was the flying time for the second part of the trip?

No works shown at all. Not encouraging.

Name Stuff. Trust me on this.

S = Flying Time on First Leg
T = Flying Time on the Second Leg

S = T+1 hr

Distance = Rate * Time

Now, GO! Let's see what you can do.

 

[skeeter]

let t = time required for the 2nd part of the trip

t+1 = time required for the first part of the trip

rate * time = distance

 

[dkarolasz]

rate * time = distance

560=(s)(t+1)
480=(s)(t)

I divided serveral numbers that would go into 560 & 480 evenly.

It was 80

so

560=(80)(7+1) would be 8 hours
480=(80)(6)

so the flying time for the second part of the trip is 8 hours

 

[tkhunny]

rate * time = distance

560=(s)(t+1)
480=(s)(t)

I divided serveral numbers that would go into 560 & 480 evenly.

That's just no good. You MUST learn the concept of substitution. I believe you have received a few recommendations to do so. Please follow these recommendations.

Given:

560=(s)(t+1)
480=(s)(t)

Solve one equations for "s".

480 = s*t ==> s = 480/t

Substitute this expression for "s" into the other equation.

560=(s)(t+1) ==> 560=(480/t)(t+1)

Now you have one equation, with only one variable. You can solve this for "t" and eliminate all the guess work.

 

[stapel]

Could someone help me set this up.

You might want to review the other "distance" problems you've posted. This time, please try following through the steps and explanations that were given, figuring out the reasoning, and then completing the exercises on your own. :wink:

(I venture to suggest this since, despite statements to the contrary, the complete worked solution provided by sorobon in another thread seems not actually to have helped you at all. Far from "understanding it quite well now", you appear not even to recognize that this is the same topic using the same formulas and techniques. Oops! )

Thank you for your consideration!

Eliz.