Question 106417
{{{P }}}   {{{1}}} piece of work in {{{9}}} days
Q  is  {{{50%}}} more more efficient than {{{P}}}, and would need {{{x}}} days to do the same piece  of  work.

use proportion: 

{{{1: (1+50/100) = 9 : x}}}

{{{1: (1+5/10) = 9 : x}}}

{{{1: (1+0.5) = 9 : x}}}


{{{1 : 1.5 = x : 9}}}

{{{9 = 1.5x}}}

{{{x = 9/1.5}}}

{{{x = 6}}}

{{{Q}}} will do the same piece of work in {{{6}}} days.