Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

1. An experienced employee can enter tax data into a computer twice as fast as a new em-

ployee. Working together, it takes the employees 2 hr. How long would it take the experi- enced employee working alone?

2. One roofer can put a new roof on a house three times faster than another. Working to- gether, they can roof a house in 4 days. How long would it take the faster roofer working alone?

3. One pipe can fill a swimming pool in 6 hr, and another pipe can do it in 9 hr. How long will it take the two pipes working together to fill the pool full?

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

Experienced employee : productivity = 1 / X amount of work per hour he can complete work in X hours new employee = 1/(2X) per hour

Working together productivity = 1/X + 1/2X = 3/2X => it takes 2X/3 number of days to complete the work. => 2X/3 = 2 hours => X = 3 hours experience person takes 3 hours and new one takes 6 hours

====================================

one roofer experience takes X days.. the other takes 3 X days productivity working together = 1/X + 1/3X = 4/(3X) => together they take : 3X/4 = 4 days => X = 16/3 days slower one takes : 16 days ==================== pipe1 : filling speed = 1/6 per hour pipe2 : speed = 1/9 per hour filling speed when they are together : 1/6 + 1/9 = 5/18 per hour => it takes 18/5 = 3.6 hours for both together