Calculating Relative Speeds: Comparing Process X and Process Y in % Difference

  • Thread starter Thread starter xeon123
  • Start date Start date
  • Tags Tags
    Relation
Click For Summary

Homework Help Overview

The discussion revolves around calculating the percentage difference in speed between two processes, X and Y, based on their completion times of 905 seconds and 950 seconds, respectively. Participants are exploring how to express the relative speeds in percentage terms.

Discussion Character

  • Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to derive formulas for calculating how much faster one process is compared to another in percentage terms. There is a focus on understanding the implications of using different references for comparison.

Discussion Status

Some participants have provided feedback on the original poster's calculations, indicating that the proposed formulas may yield incorrect results. There is ongoing exploration of how to properly express the rates of the processes and the implications of comparing times versus rates.

Contextual Notes

Participants are questioning the definitions and assumptions behind the terms "faster" and "slower," as well as the relevance of comparing rates versus times in the context of the problem.

xeon123
Messages
90
Reaction score
0
I have a really simple question that I can't figure it out.

I have a process X that took 905 seconds to finish. Process Y took 950 seconds to finish. I want to know a) how much in % process X is faster than Y, and b) how much in % process Y is slower than X?

I think that the answer is the following.

a) Taking X as reference, X is faster (X-Y)/Y times.
b) Taking Y as reference, Y is slower 1-(Y/X) times.

Am I correct?
 
Physics news on Phys.org
xeon123 said:
a) Taking X as reference, X is faster (X-Y)/Y times.
b) Taking Y as reference, Y is slower 1-(Y/X) times
That depends what you mean by X and Y there.
Since you want how much faster one is than the other, you need to compare rates.
What are the rates? You can express them as "processes per second"
 
haruspex said:
That depends what you mean by X and Y there.
Since you want how much faster one is than the other, you need to compare rates.
What are the rates? You can express them as "processes per second"

My question is not related to processes per second.
I have a process X which is faster than Y. I want to know how much X is faster than Y in %, and how much Y is slower than X in %. Eg., X is faster 10% than Y, and Y is slower something in % than X.
 
Last edited:
xeon123 said:
My question is not related to processes per second
Alice walked a km in 15 minutes, Bob took 30 minutes. Alice was faster by 15 minutes, which is 50% less than 30, but was she only 50% faster? At 4km/h, wasn't she 100% faster than Bob's 2km/h?
"% faster" means you are comparing rates, not times.
 
haruspex said:
Alice walked a km in 15 minutes, Bob took 30 minutes. Alice was faster by 15 minutes, which is 50% less than 30, but was she only 50% faster? At 4km/h, wasn't she 100% faster than Bob's 2km/h?
"% faster" means you are comparing rates, not times.

I understand your example because you use numbers easy to calculate. I don't know how to answer my example. Can you tell me if my answers are correct?
 
xeon123 said:
I have a process X that took 905 seconds to finish. Process Y took 950 seconds to finish. I want to know a) how much in % process X is faster than Y, and b) how much in % process Y is slower than X?

I think that the answer is the following.

a) Taking X as reference, X is faster (X-Y)/Y times.
b) Taking Y as reference, Y is slower 1-(Y/X) times.
Am I correct?
Using your numbers, for (a), you would get (905 - 950)/950, which is a negative number.
For (b), you would get 1 - (950/900), which is a number smaller than -1; i.e., more negative than -1.
So no, these are both incorrect.

xeon123 said:
I understand your example because you use numbers easy to calculate. I don't know how to answer my example. Can you tell me if my answers are correct?
See if you can duplicate @haruspex's thinking using your numbers.
 
Mark44 said:
Using your numbers, for (a), you would get (905 - 950)/950, which is a negative number.
For (b), you would get 1 - (950/900), which is a number smaller than -1; i.e., more negative than -1.
So no, these are both incorrect.See if you can duplicate @haruspex's thinking using your numbers.
I am having some difficulty in duplicating @haruspex's example. I really need some help.
 
xeon123 said:
I am having some difficulty in duplicating @haruspex's example. I really need some help.
Do as I suggested at the start - express the two rates as numbers of processes per second.
 

Similar threads

  • · Replies 32 ·
2
Replies
32
Views
2K
Replies
17
Views
3K
Replies
7
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
20
Views
4K
  • · Replies 27 ·
Replies
27
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
Replies
16
Views
3K
  • · Replies 1 ·
Replies
1
Views
965
  • · Replies 5 ·
Replies
5
Views
1K