When Will Two Planes Pass Each Other on a Transcontinental Flight?

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Homework Help Overview

The problem involves two planes traveling towards each other from San Francisco to New York and vice versa, with specified speeds and a total distance of 4600 km. The original poster seeks assistance in determining when the two planes will pass each other.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to find the position function of the planes but encounters a negative time result. Some participants suggest alternative methods, including considering the combined speed of the planes and using ratios of their speeds to determine the distances traveled before they meet.

Discussion Status

Participants are exploring different approaches to the problem, with some guidance provided on how to calculate the time until the planes meet. The discussion reflects a collaborative effort to clarify the reasoning behind the calculations.

Contextual Notes

The original poster expresses confusion over the negative time result, indicating a potential misunderstanding of the problem setup or calculations. There is no indication of imposed homework rules or constraints mentioned in the discussion.

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Homework Statement


A plane takes off from San Francisco to New york (4600km) at 1100km/h. At the same time, another plane takes off from New York to San Franscisco at 700km/h. When do the two planes pass each other?

Can you please help me in this problem?
I tried finding the psosition function of the two planes and equating them in order to find the time, but I found the time negative, which doesn't make much sense.


Homework Equations





The Attempt at a Solution

 
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Well, you could go about this in a couple of different ways.

Firstly, there are two planes which must travel a combined distance of 4600 Km, you could consider one plane traveling that same distance at 1100 + 700 = 1800 Km/h. That would give you the time until they meet.

Secondly, you could consider their speeds to be a ratio of the distances they travel. For example, plane A travels 1100 / (1100 + 700) of the distance before meeting plane B. You can multiply that fraction by 4600 to calculate the distance, then based on it's speed calculate the time it would take. Similarly plane B travels 700 / (1100 + 700) of the distance.
 
Thanks a lot...YOU SAVED MY LIFE...I got everything you said ;)
 
Happy to help. :smile:
 

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