Question 748787
Tiburcio can paint a certain room in 1 day.
 His daughter Alma can paint it in 2 days.
 After Tiburcio has been working for several hours, his daughter helped him and together they finished the job in 3 hours.
 How many hours did Tiburcio work alone?
 Assume an 8-hour working day.
:
Let t = time that Ti worked alone
Let the completed job = 1 (a painted room)
:
A shared work equation, (time in hrs)
{{{((t+3))/8}}} + {{{3/16}}} = 1
multiply by 16, cancel the denominators, resulting in:
2(t+3) + 3 = 16
2t + 6 + 3 = 16
2t = 16 - 9
2t = 7
t = 7/2
t = 3.5 hrs worked by Ti alone
:
:
See if that checks out on a calc:
{{{6.5/8}}} + {{{3/16}}} =
.8125 + .1875 = 1