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.
<pre>Let time Jacob takes, alone, be J
Then we get: {{{matrix(1,3, 1/4.95, "=", 1/9 + 1/J)}}}
9J = 4.95J + 9(4.95) ------ Multiplying by LCD, 9J(4.95)
9J - 4.95J = 9(4.95)
4.05J = 9(4.95)
Time Jacob takes alone, to do job, or {{{highlight_green(matrix(1,6, J, "=", 9(4.95)/4.05, "=", 11, hours))}}}