The Grey Labyrinth is a collection of puzzles, riddles, mind games, paradoxes and other intellectually challenging diversions. Related topics: puzzle games, logic puzzles, lateral thinking puzzles, philosophy, mind benders, brain teasers, word problems, conundrums, 3d puzzles, spatial reasoning, intelligence tests, mathematical diversions, paradoxes, physics problems, reasoning, math, science.


That's my name, Mr. Plow

At time t, the amount of snow is some constant(r) times t. snow = rt The velocity at which the snowplow can travel is inversely proportional to the amount of snow: v = c/rt Since the plow travelled the same distance from noon to 1 as it did from 1 to 4, we can set these distances equal, and use the integral of the velocity as the distance. The snow started at some time x before the plow, so the integrals are from x to 1+x, and from 1+x to 4+x. These integrate to: r/c(ln(1+x) - ln(x)) = r/c(ln(4+x) - ln(1+x)) The constants cancel, and rearranging use logarithmic properties gives: ln((4+x)(x)/(1+x)^2) = 0 (4+x)(x)/(1+x)^2 = 1 (4+x)(x) = (1+x)^2 Which simplifies to x=1/2. So, the snow started at 11:30 AM.
2.53 stars. Votes are updated daily.

On a scale of 1 to 5, 1 being among your least favorite, 5 being among your most favorite, how would you rate this puzzle?

1 2 3 4 5

Copyright © 1996-2015 Wx3, All Rights Reserved.