It takes Jimmy 11 minutes to sweep a porch.

Amy can sweep the same porch in 13

minutes. Find how long it would take them

if they worked together.

5.96 min

Step-by-step explanation:

Jimmy's rate, J = 11 min for whole porch

Amy's rate, A = 13 min for whole porch

to find the combined rate, C,

the reciprocal of the combined rate equals the sum of the reciprocals of each individual rate. i. e

1/C = 1/J + 1/A

substituting the above values

1/C = 1/11 + 1/13 (convert right side to same denominator)

1/C = 13 / (11 x 13) + 11 / (11 x 13)

1/C = 13 / 143 + 11 / 143

1/C = (13 + 11) / 143

1/C = 24 / 143 (taking reciprocal of both sides)

C = 143 / 24 = 5.96 min

Like 6 minutes or somthin