# Harvest time

Grandma and granddaughter Julka reap currants in 15 hours of working together. Julka herself would have currants 10 days after 6 hours of work a day.
Find by what percentage the grandma's harvest time was shortened when the granddaughter was involved in current harvesting.

Correct result:

p =  25 %

#### Solution:

$j=10 \cdot \ 6=60 \ \text{h} \ \\ \ \\ 15/b + 15/j=1 \ \\ 15/b + 15/60=1 \ \\ 15/b=1 - 15/60=\dfrac{ 3 }{ 4 }=0.75 \ \\ b=\dfrac{ 15 }{ 1 - 15/60 }=20 \ \text{h} \ \\ \ \\ p=100 \cdot \ \dfrac{ b-15 }{ b }=100 \cdot \ \dfrac{ 20-15 }{ 20 }=25 \%$

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