Respuesta :
Answer:
Jenny to do it alone in 18.96 hours
and Lea take it 11 hours
and both can do in 6.96 hours
Step-by-step explanation:
given data
both work complete in = 6.96 hours
to find out
how long it would have taken Lea 11 hours and how long it would take Jenny to do it alone would take Jessica to do it alone
solution
we know both can do complete work in 6.96 hours
so in 1 hour they work [tex]\frac{1}{6.96}[/tex] part
and if Lea do it in 11 hours
so Lea do in 1 hours = [tex]\frac{1}{11}[/tex] part
we consider jenny do work in x hours
so in 1 hour it complete = [tex]\frac{1}{x}[/tex] part
so total work in 1 hour will be
[tex]\frac{1}{11}[/tex] + [tex]\frac{1}{x}[/tex] = [tex]\frac{1}{6.96}[/tex]
solve we get x
x = 18.95
so Jenny to do it alone in 18.96 hours
and Lea take it 11 hours
and both can do in 6.96 hours
