Help me Please!!!

Richard can paint a room in two hours and his brother Nick can paint the same room in four hours. How long would it take them to paint the room if they worked together?

2 answers

let t equal their combined time

each one does some fraction of the job
... t / 2 for Richard
... t / 4 for Nick

they combine to do the whole job ... t/2 + t/4 = 1

2t / 4 + t / 4 = 1 ... 3 t = 4 ... t = 4 /3 ... an hour and 20 minutes
1/2 + 1/4 = 1/t
t = 4/3