perplexus.info :: General : Miles to Kilometers

Miles to Kilometers (Posted on 2016-02-26)

Define F(N) = Min ((N- floor(N)), (ceil(N) – N))
Given that:
M miles = N kilometers, where M is a positive integer ≤ 2016 and N is a real number.

(I) Determine the value of M that yields the smallest value of F(N)
(II) What is the value of M yielding the next smallest value of F(N))?

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The minimum value of M is 1006, giving: F(N) = 0.0000640
The value of M yielding the next smallest value of F(n) (which is 0.0001280) is 2012.
For an explanation, refer to the computer program assisted solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: quick Excel solution	Charlie	2016-02-26 10:07:44
computer solution	Charlie	2016-02-26 10:03:15
quick Excel solution	Daniel	2016-02-26 09:50:52

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