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January 20th, 2012, 11:24 PM   #1
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Distance, speed and time problem

Can someone solve this ?

A plane flying at 300 mph has a 3-hr head start on
a “chase plane,” which has a speed of 800 mph.
How far from the airport will the chase plane
overtake the first plane?
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January 20th, 2012, 11:40 PM   #2
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Math Focus: Calculus/ODEs
Re: Text exercise

It is preferable to begin a new topic for a new question, so that topics are easy to follow and add to. Thus, I split this topic from the original into its own.

The relationship between distance d, constant speed v and time t is:



When the chase plane overtakes the slower plane, their distance form the airport will be equal. Let t be the time in hours the slower plane is in the air, and so t - 3 will be the time the chase plane is in the air. So we have:



Now we must solve for t:









Now to find d, we use:

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January 21st, 2012, 01:19 AM   #3
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Re: Distance, speed and time problem

Thank you for your answer. I can solve long equations but when it comes to solve text ecercises i dont understand them..I think i dont have logic thinking like you
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