Solve the problem.
-The Epson Stylus 850 can print Helen's class project in 18 minutes. The Epson Stylus 500 can print the project in 30 minutes. If the two printers work together, how long would they take to print out the project?
A) $11 \frac { 1 } { 4 }$ minutes
B) 90 minutes
C) 8 minutes
D) $\frac { 4 } { 45 }$ of a minute

Question

Solve the problem.
-The Epson Stylus 850 can print Helen's class project in 18 minutes. The Epson Stylus 500 can print the project in 30 minutes. If the two printers work together, how long would they take to print out the project? 
A) $11 \frac { 1 } { 4 }$ minutes
B) 90 minutes
C) 8 minutes
D) $\frac { 4 } { 45 }$ of a minute

Quizplus · Accepted Answer

The Epson Stylus 850 has a rate of 1/18 of the project per minute, and the Epson Stylus 500 has a rate of 1/30 of the project per minute. Working together, their combined rate is 1/18 + 1/30 = 5/90 + 3/90 = 8/90 = 4/45 of the project per minute. To find the time taken to complete one project, take the reciprocal of their combined rate: 45/4 minutes, which simplifies to $11 \frac { 1 } { 4 }$ minutes.

Solve the Problem 111411 \frac { 1 } { 4 }1141​

Solve the Problem $11 \frac { 1 } { 4 }$