Physics Finding Total Distance?

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John's sledding journey involved five dogs initially, covering a distance that ultimately led to confusion over the total distance traveled. After two dogs escaped, he continued at a reduced speed, resulting in a longer travel time. The calculations indicated that if the dogs had not escaped, the journey would have been completed 24 hours earlier than it was. The discussion focused on deriving equations to model the journey's different segments and clarify the relationships between speed, time, and distance. Ultimately, the total distance calculated was approximately 133.33 km, aligning with one of the provided answer options.
  • #31
RichardT said:
ok, one more thing, how do you assume that the area of H and G equal the area of F and E if only you know that they have the same height. You don't know the widths right? Because since i know that the width of H and G = 36 and the width of F and E equal 24, wouldn't the distances be different??
EDIT: wait that's only assuming he travels 50 km in 24 hours which you can't so how did you get H and G equal to E and F?

Note that using the full team for an extra 50km, made section K 24hrs wide, not the time taken to cover the 50km.(that was 36hrs it turns out).
 
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  • #32
Ok so area G and H are equal to area of E and F because area of J = the area of K?
 
  • #33
RichardT said:
Ok so area G and H are equal to area of E and F because area of J = the area of K?

Correct! and I suspect you find it surprising - but it was all in the original information.

when the dogs left - 48 hours late
If the dogs stayed on for an extra 50km, only 24 hours late so the area J is one half of D, and thus J = K
 

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