Adam can fence their garden in 6 hours, while his brother can do the same job in 10 hours. How long will it take them to do this job together?

C = 3 3/4 hours

Step-by-step explanation:

To determine the amount of time it takes to do a job we use the formula

1/A + 1/B = 1/C

Where A is the time it takes for person A alone

B is the time for person B alone

and C is the time for A and B togther

1/6 + 1/10 = 1/C

Since 30C is the common denominator, multiply by 30C to clear the fractions

30C (1/6 + 1/10) = 1/C * 30C

5C + 3C = 30

8C = 30

Divide by 8

8C/8 = 30/8

C = 30/8

C = 15/4

C = 3 3/4 hours