[dr_lew]

Marked as required. To answer the question, I noted that Maisie's number line was 7/8 as long as Dan's, so I expanded it by 114% < 8/7 using MS paint, and noted that her jump must be greater then Dan's if both number lines are scaled to the same length. So the answer is "Maisie".

[dr_lew]

It just occurred to me that there is a deep subtext to this question. 2/3 and 5/8 are successive terms in the upper bounds to the golden ratio, ( sqrt(5)-1 )/2, given by the Fibonacci series, whereas 3/5, 8/13, etc. are correspondingly the lower bounds. Taken together, they are the ratios of the terms of the Fibonacci series,

1/2, 2/3, 3/5, 5/8, 8/13, 13/21, 21/34, 34/55, ...

... so if we ask, e.g., which is greater, 13/21 or 34/55, we have to compare 13*55/21*55 and 34*21/55*21 or 715/1155 and 714/1155, and continuing in this way the numerator of the later term will always be one less than the numerator of the earlier term, wrt the common denominator.

"beauty to find, in so many ways ..."

[Half Vast Conspiracy]

Exactly. Whoever created this problem did not understand that both lines need to be equal (1 = 1).

They also blew away any advantage of using metric distance measurements by breaking meters into sixths and eighths.