It took George and Amy a total of 2 hours to put up all the notices for the pet show. They posted notices on trees and bulletin boards around town. All kinds of prizes were to be given, including one for the "ugliest" pet. Amy worked three times as long as George putting up signs. How long did each of them work?
If George took x hours, then Amy took 2x hours. So,
1/x + 1/(2x) = 1/2
now just solve for x.
Answer: Amy=90 minutes; George=30 minutes
To solve this problem, let's assign variables to the unknowns. Let's say that George worked for x hours, and Amy worked for 3x hours.
We know that it took them a total of 2 hours to put up all the notices, so we can create the following equation:
x + 3x = 2
Combining like terms, we get:
4x = 2
To solve for x, we divide both sides of the equation by 4:
x = 2/4
x = 1/2
So, George worked for 1/2 hour. To find out how long Amy worked, we substitute this value back into the equation for Amy's time:
3x = 3 * (1/2) = 3/2
Therefore, Amy worked for 3/2 hours, or 1 1/2 hours.
To summarize:
- George worked for 1/2 hour.
- Amy worked for 1 1/2 hours.