Answer: [tex]\frac{40}{3}\ \text{hours}[/tex]
Step-by-step explanation:
Nancy can do typing job in 8 hours
i.e. in 1-hour nancy can [tex]\frac{1}{8}[/tex] part of work
Together they can do that work in 5 hours
or in 1 hour [tex]\frac{1}{5}[/tex] part of work is done
suppose Carole takes x hours for the work
so, in 1 hour [tex]\frac{1}{x}[/tex] part is done
If both work together for 1 hour then we can write
[tex]\frac{1}{8}+\frac{1}{x}=\frac{1}{5}[/tex]
[tex]\frac{1}{x}=\frac{1}{5}-\frac{1}{8}[/tex]
[tex]x=\frac{40}{3}\ \text{hours}[/tex]
