Pat can design a website in 20 hours. His friend can design the same site in 30 hours. How long will it take to design the website working together?
I got 12 hrs.
Is this correct?
First divide 20 by two and 30 by 2.
You get 10 and 15.
Add the two together:25.
divide 25 by two and you get 12.5
The answer is 12.5
i tried it differently i still get 12hrs?
To find out how long it will take Pat and his friend to design the website working together, we can use the formula:
1 / (Pat's time + Friend's time) = Fraction of work completed per hour.
Let's calculate it step-by-step:
1. Pat can design the website in 20 hours, so his work rate is 1/20 of the website per hour.
2. His friend can design the website in 30 hours, so his work rate is 1/30 of the website per hour.
3. Adding their individual work rates together: 1/20 + 1/30 = (3/60 + 2/60) = 5/60.
4. Simplifying the fraction: 5/60 can be reduced to 1/12.
So, working together, Pat and his friend can complete 1/12 of the website per hour. Therefore, it will take them 12 hours to complete the website working together, not 5 hours. Hence, your answer is incorrect.
Yes, 12 hours is the correct answer. When Pat and his friend work together, they can complete the website in less time than if they were working individually because they can divide the workload.
To calculate the time it takes for them to finish the website together, you can use the concept of work rates.
First, let's find the work rate of Pat. If he can design the website in 20 hours, then his work rate can be calculated as 1/20 of the website per hour.
Similarly, let's find the work rate of Pat's friend. If his friend can design the website in 30 hours, his work rate can be calculated as 1/30 of the website per hour.
When they work together, their work rates add up. So, the combined work rate of Pat and his friend is 1/20 + 1/30 = 3/60 + 2/60 = 5/60 = 1/12 of the website per hour.
To find out how long it will take them to complete the website together, we can take the reciprocal of their combined work rate. The reciprocal of 1/12 is 12, which means it will take them 12 hours to design the website together.
Therefore, your answer of 12 hours is correct.