Answer:
1.5 hours
Step-by-step explanation:
we know that
1) Martha can paint a room in 2 hours
so
Martha can paint the 100% of the room in 2 hours
Find out what percentage of the room she can paint in an hour
using proportion
[tex]\frac{100\%}{2}=\frac{x}{1}\\\\x=100\%/2\\\\x=50\%[/tex]
2) Jamie can paint a room in 6 hours
so
Jaimie can paint the 100% of the room in 6 hours
Find out what percentage of the room she can paint in an hour
using proportion
[tex]\frac{100\%}{6}=\frac{x}{1}\\\\x=100\%/6\\\\x=16.67\%[/tex]
3) In one hour Martha and Jamie can paint
[tex]50\%+16.67\%=66.67\%[/tex]
so
using proportion
Find out how long will it take them to paint the 100% room together
[tex]\frac{1}{66.67\%}=\frac{x}{100\%}\\\\x=100/66.67\\\\x=1.5\ hours[/tex]
