Question

antonio and emilia are painting a room in their new house. antonio could finish the job in only 6 hours by himself, while emilia could finish the job in only 4 hours by herself. how long would it take them if they worked together?​

Answer 1

Explanation:

Antonio’s rate is 1/6 while Emilia’s rate is 1/4 while working alone, together they will complete the job when.

t/6+t/4=1 making common denominators

(t/6)(2/2)+(t/4)(3/3)=1

(2t+3t)/12=1

5t=12

t=2.4 hours (or 2 hours and 24 minutes)