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A level mile takes quarter of an
hour, up hill one third, down hill one sixth.
Hence to go and return over the
same mile, whether on the level or on the hill-side, takes half an hour.
Hence in six hours they went 12 miles out and 12 miles back.
If the 12 miles out had been nearly
all level, they would have taken a little over 3 hours; if nearly all up
hill, a little under 4.
Hence three and a half hours must
be within half an hour of the time taken in reaching the peak; thus, as they
started at 3, they got there within half an hour of half past six.
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