 # How did they get 2n + 10 here? Daniel can encode a paper in 5 hours and together he and Dennis can encode it in 2 hours, how long would it take Dennis to encode the same paper alone? If Daniel can encode a paper in 5 hours, then he encodes 15th paper per hour. Let n be the time it takes Dennis to encode a paper. 1/5+1/n=1/2 2n+10=5n 10=3n n=10/3 n=3 1/3 Lorena Lester 2022-07-16 Answered
How did they get 2n + 10 here?
Daniel can encode a paper in $5$ hours and together he and Dennis can encode it in $2$ hours, how long would it take Dennis to encode the same paper alone?
$\frac{1}{5}+\frac{1}{n}=\frac{1}{2}$
$2n+10=5n$
$10=3n$
$n=\frac{10}{3}$
$n=3\frac{1}{3}$
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They simply used ::
$\frac{1}{5}+\frac{1}{n}=\frac{1}{2}$
$\frac{5+n}{5n}=\frac{1}{2}$
$\begin{array}{}\text{(basics of fraction addition)}& 10+2n=5n\end{array}$