August 22, 2008
The Lazy Gardener
It takes two gardeners 8 days to mow a lawn.
One is lazy and one is energetic.
The energetic one would only take 12 days to mow it on his own.
How many days would the lazy gardener take to mow the lawn on his own?
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3 comments:
Given the fact that Gardner is hard-code lazy, he will never finish the task ;).
However, if also work sometime then 24 days (inverse of (1/8-1/12)).
23.995 or 24 days
if the fast one takes 12 days to mown 100% of loan, so in 8 days he would cover
8*100/12=66.6666...=66.67%
leaving 33.3333...=33.34% to cover by slow one in 8 days.
In 8 days he covers 33.34%,
for him to cover 100% he will need
8*100/33.34=23.995...=24 days
or simply put the hard one works twice the fast as the slow one
so slow one finish the work in double time 12*2=24 days
Twice the amount of the other gardener or 24 days.
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