Relating increament of speed to time

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Homework Help Overview

The problem involves a scenario where Aditya rides a bicycle from town P to town Q at a constant speed and considers the effects of increasing his speed on travel time. The subject area relates to kinematics and speed-time relationships.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the relationship between speed and time, with attempts to express the problem mathematically. There are questions about interpreting the phrase "three times faster" and how to translate that into a mathematical expression.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the mathematical representation of speed, but there is no consensus on how to interpret the phrase regarding speed increase.

Contextual Notes

Participants are grappling with the correct interpretation of the problem's wording, particularly the implications of speed increases on travel time. There may be assumptions about the definitions of speed and time that are being questioned.

MoniMini
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Aditya rides a bicycle from town P to town Q with a constant speed. If he increases his speed by 3 m/s, he will arrive to town Q three times faster. How many times faster will Aditya arrive to town Q, if he increases his speed by 6 m/s



s=\frac{d}{t}



Let his constant speed be x
x= d/t
Therefore x+3 = (d/t) +3
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C'est tout! What next?
 
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Hi MoniMini! :smile:
MoniMini said:
Let his constant speed be x
x= d/t
Therefore x+3 = (d/t) +3

ok so far!

now translate "he will arrive to town Q three times faster" :wink:
 
tiny-tim said:
Hi MoniMini! :smile:


ok so far!

now translate "he will arrive to town Q three times faster" :wink:

Umm...That's the problem...I'm not being able to do that :(
 
if the new speed, x+3, is 3 times faster,

that means it must be 3x :wink:
 

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