Question 1172307
Working together, Jacob and Brandon can pick forty bushels of apples in 4.95 hours.
 Had he done it alone it would have taken Brandon 9 hours.
 Find how long it would take Jacob to do it alone.
:
let t = time required by Jacob working alone
Let the completed job = 1 (picking 40 bushels)
Each will do a fraction of the job, the two fractions add up to 1
{{{4.95/t}}} + {{{4.95/9}}} = 1
multiply by 9t, cancel the denominators
4.95(9) + 4.95t = 9t
44.55 + 4.95t = 9t
44.55 = 9t - 4.95t
44.55 = 4.05t
t = 44.55/4.05
t = 11 hrs Jacob working alone
:

:
Check
{{{4.95/11}}} + {{{4.95/9}}} = 1
.45 + .55  = 1