What are the speeds of a Cessna and a Beechcraft in a given scenario?

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Homework Help Overview

The problem involves calculating the speeds of a Cessna and a Beechcraft based on their distances and the time taken for each flight. The Cessna flies 600 miles, while the Beechcraft flies 1000 miles at a speed that is 50 mph faster but takes 1 hour longer.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants discuss writing equations that relate the speeds, distances, and times of the two planes. There is uncertainty about how to formulate these equations, with some mentioning the problem may involve quadratic equations.

Discussion Status

The discussion includes attempts to clarify the relationships between speed, distance, and time. Some participants have offered guidance on starting points for setting up the problem, while others express confusion about the equations needed to proceed. There is no explicit consensus on the approach yet.

Contextual Notes

Participants note that the unknown speed of the Cessna is a variable in the equations, and there is a suggestion to organize the information into a table format for clarity. The problem is framed within the constraints of a homework assignment, which may limit the type of assistance provided.

scjibran
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Um I don't get this problem, can someone help me get through this step by step please.

Air Travel ... A Cessna flies 600 mi at a certain speed. A Beechcraft flies 1000 mi at a speed that is 50 mph fster, but it takes 1 hr longer. Find the speed of each plane ?
 
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Why don't you start by writing equations relating the speed of the invidiual planes and their repective distance and time taken in relation to each other?
 
Defennder said:
Why don't you start by writing equations relating the speed of the invidiual planes and their repective distance and time taken in relation to each other?

I don't how ... if I can write the equation I can probably solve it. Its suppose to be a duaradratic but I don't get how ?
 
Start with distance = rate * time.
 
Never mind, I found someone to help ...
 
scjibran said:
Um I don't get this problem, can someone help me get through this step by step please.

Air Travel ... A Cessna flies 600 mi at a certain speed. A Beechcraft flies 1000 mi at a speed that is 50 mph fster, but it takes 1 hr longer. Find the speed of each plane ?

Cessna and Beechcraft need two row; a row for each.
Rate, Time, Distance each need a column. Fill in expressions according to your description. Your unknown speed seems to be that of the Cessna, so that is your variable. For simplification purposes, "speed" is the same as "Rate" for this problem description (which is not always correct).
 
Feel free to post your result, then, as well.
 

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