How do I figure this problem out?

If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?


The answer is 2 hours and 24 minutes. But how do i figure that out?


Thanks.How do I figure this problem out?
Sally can paint the house in 4 hours or she can paint 1/4 of the house in 1 hour.


John can paint the house in 6 hours or he can paint 1/6 of the house in 1 hour





( 1/4 + 1/6)x = 1





(3/12 + 2/12)x = 1





5/12x = 1





x = 12/5





x = 2.4 hours or 2 hours and 24 minutes


How do I figure this problem out?
4*6/(4+6)=24/10=2 2/5= 2 hours 24 minutes











t(1/4+1/6)=1 t=4*6/(4+6)



1/4+1/6=1/x





3/12 +2/12=1/x


5/12=1/x


x=12/5


x=2.4





1=60min


.4=x


x=24min


yes, 2hours and 24min