Solve the problem.
-An experienced accountant can prepare a tax return in 17 hours. A novice accountant can do the job in 23 hours. How long will it take them to do the job working together?
A) $65 \frac { 1 } { 6 }$ hours
B) $\frac { 1 } { 391 }$ hours
C) $\frac { 1 } { 40 }$ hours
D) $9 \frac { 31 } { 40 }$ hours

Question

Quizplus · Accepted Answer

Let x be the number of hours it takes for them to do the job working together. Then, we can set up the equation:
$\frac{1}{17}x + \frac{1}{23}x = 1$
Solving for x, we get:
$x = \frac{17}{23}(23+17) = 9\frac{31}{40}$
Therefore, the answer is choice D.

Solve the Problem 651665 \frac { 1 } { 6 }6561​

Solve the Problem $65 \frac { 1 } { 6 }$