Question

Matt can hours. One day his friend Jessica helped him and it only took 6.96 hours. Find how long it would have taken Lea 11 hours. Find how long it would take Jenny to do it alone would take Jessica to do it alone.

Answer 1

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 $\frac{1}{6.96}$ part    

and if Lea do it in 11 hours

so Lea do in 1 hours =  $\frac{1}{11}$ part

we consider jenny do work in x hours

so in 1 hour it complete =  $\frac{1}{x}$ part

so total work in 1 hour will be

$\frac{1}{11}$ + $\frac{1}{x}$ =  $\frac{1}{6.96}$

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