One printer can do a printing job in 9 hours. Another printer can do the same job in 13 hours. How long can they do the job working together?
A) $5 \frac{2}{23}$ hours

B) $5 \frac{7}{22}$ hours

C) $\frac{1}{22}$ hours

D) $29 \frac{1}{4}$ hours

Question

One printer can do a printing job in 9 hours. Another printer can do the same job in 13 hours. How long can they do the job working together?
A) $5 \frac{2}{23}$ hours

B) $5 \frac{7}{22}$ hours

C) $\frac{1}{22}$ hours

D) $29 \frac{1}{4}$ hours

Quizplus · Accepted Answer

To find the time taken when both printers work together, we use the formula for combined work rates: $\frac{1}{T} = \frac{1}{9} + \frac{1}{13}$. Solving this gives $T = \frac{117}{22}$, which simplifies to $5 \frac{7}{22}$ hours.

One Printer Can Do a Printing Job in 9 Hours 52235 \frac{2}{23}5232​

One Printer Can Do a Printing Job in 9 Hours $5 \frac{2}{23}$