Question 1011778
Aaron can paint a room in 45 minutes.
 Caroline can paint a room in 60 minutes.
 If they worked together, how long will it take them to finish painting 6 rooms together?
:
Let t = time required when working together
let the completion of 1 room = 1
:
{{{t/45}}} + {{{t/60}}} = 6
Multiply equation by 180
180*{{{t/45}}} + 180*{{{t/60}}} = 180*6
cancel the denominators
4t + 3t = 1080
t = 1080/7
t = 154.3 min or about 2 hrs 34.3 min