Answer:
It would take 6 days for Sam and Betty to paint the same house together.
Step-by-step explanation:
Let x represent the time it takes ( in days ) to complete painting the house working together. Our approach here is to add the rates of the two people, equal to the total rate, or 1 / 7.
Sam's rate = 1 / 7 ( 7 days to paint 1 house ),
Betty's rate = 1 / 42 ( 42 days to paint 1 house )
1 / 7 + 1 / 42 = 1 / x - now let us solve for x, our solution
1 / 7 + 1 / 42 = 1 / x ( multiply either side by 42x )
7x = 42,
x = 42 / 7 = 6 days
