Answer:
[tex]6\frac{2}{3}\ h[/tex]
Step-by-step explanation:
step 1
we know that
Nicole can mow a large lawn in about 4 hours
That means----> In 4 hours Nicole mow the 100% of the lawn
so
using proportion
Find out what percentage Nicole mow in 2.5 hours
[tex]\frac{4}{100}\ \frac{h}{\%}=\frac{2.5}{x}\ \frac{h}{\%}\\\\x=100(2.5)/4\\\\x= 62.5\%[/tex]
step 2
we know that
When Nicole and Jessica work together, they can mow the same lawn in about 2.5 hours
Remember that in 2.5 hours Nicole mow 62.5%
That means -----> Jessica in 2.5 hours mow 100%-62.5%=37.5%
using proportion
Find out how many hours would it take Jessica to mow the lawn (100%) by herself
[tex]\frac{2.5}{37.5}\ \frac{h}{\%}=\frac{x}{100}\ \frac{h}{\%}[/tex]
[tex]x=2.5(100)/37.5\\\\x=6\frac{2}{3}\ h[/tex]
