Question

Working together, paul and daniel can pick forty bushels of apples in 4.95 hours.had he done it alone it would have taken daniel 9 hours. Find how long it would take paul to do it alone?

Answer 1

\[r_1+r_2=\frac{1}{4.95}\]

\[r_1=\frac{1}{9}\] solve for \[r_2\]

Answer 2

actually the question is "how long?" and i solved for the rate. you are looking for time which is
\[\frac{1}{r_2}\]

Answer 3

reasoning as follows: their combined rate is 4.95 meaning they do
\[\frac{1}{4.95}\] of the job per hour. by the same reasoning daniel's rate is
\[\frac{1}{9}\] meaning he does one-ninth of the job per hour.

Answer 4

so you can write
\[\frac{1}{9}+r_2=4.95\] and solve for the second rate \[r_2\]
or you can write
\[\frac{1}{9}+\frac{1}{x}=4.95\] and x will be your answer

Answer 5

excuse me the right side of these should be
\[\frac{1}{4.95}\] not 4.95

Answer 6

last one is
\[\frac{1}{9}+\frac{1}{x}=\frac{1}{4.95}\]

Answer 7

i think it is 11 when you solve. you can check. answer is 11 hours