avigutman wrote:
You're about to explain your objection to the yellow highlight, but you never actually engage with my argument in the yellow highlight. You don't explain how two tick marks can be moved up or down the number line without changing the amount of time they take to do the job together.
You're ignoring one important piece of information that we have: the difference between them is 3.
Hi
avigutman – I think my primary issue with the yellow highlight above is that there is
division going on behind the scenes (Product of Individual Times / Sum of Individual Times) when
combined times are being calculated.
Now - In order to keep a
division constant (in this case - 2 /1 ) -
Numerators and
Denominators have to change by the same (% change)
Example#1(2/1) vs (4/2) are the same
Reason -
Numerator increased by 100 % (From 2 to 4) and the
denominator increased by 100 % (from 1 to 2)
Example#2(6/3) vs (7/3.5) are the same
Reason -
Numerator increased by 116.67 % (from 6 to 7) and the denominator increased by 116.67 % (from 3 to 3.5)
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Now if there are 2 tick marks on the number line (
3 hours and
6 hour) and we move each tick mark by
4 units eachSo the new tick marks are
7 hours and
10 hours - the New Sum will
change- the New Product will
change Whats to say the
Numerator and the
Denominator wont increase by the same (
% change) ?
Perhaps the
% change is the same (for the
Numerator vs for the
Denominator)
How can you say that the
% change is going to different (in the Numerator vs in the Denominator) -- everytime you shift the two tick marks (3 hours and 6 hours) by
4 units each or
5 units each or
6 units each. At-least thats what is nagging me
Thank you