Solve the problem. Round your answer to the nearest tenth, if necessary.
-Ron takes two hr more time than Paul to mow the lawn. Working together they can mow the lawn in $5 \mathrm{hr}$. How long does it take each of them working alone?
A) Paul: $10 \mathrm{hr}$; Ron: $12 \mathrm{hr}$
B) Paul: $9.1 \mathrm{hr}$; Ron: $11.1 \mathrm{hr}$
C) Paul: 8.3 hr; Ron: 10.3 hr
D) Paul: $8 \mathrm{hr}$; Ron: $10 \mathrm{hr}$

Question

Quizplus · Accepted Answer

Let $x$ be the time (in hours) it takes Paul to mow the lawn alone. Then it takes Ron $x+2$ hours to mow the lawn alone. Working together, they can mow the lawn in 5 hours, so we have the equation:$$\frac{1}{x}+\frac{1}{x+2}=\frac{1}{5}$$Solving for $x$, we get:$$x=9.1$$Therefore, it takes Paul 9.1 hours to mow the lawn alone, and it takes Ron 11.1 hours to mow the lawn alone.

Solve the Problem 5hr5 \mathrm{hr}5hr How Long Does It Take Each of Them Working

Solve the Problem $5 \mathrm{hr}$ How Long Does It Take Each of Them Working