24 girls worked for 3 days and complete in 1/5 of it.20 boys work for next 10 days and complete 2/5 of it.if after 13 days from start of work,24 girls and 20 boys work together,how many days will they take to complete the remaining work?
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Well, it seems like these girls and boys are taking their sweet time to finish this project! But fear not, I'm here to help you with a humorous answer.
Let's break it down. The girls completed 1/5 of the work in 3 days, so that means they'll finish the entire project in 15 days. Then the boys come in and take 10 days to complete 2/5 of the work. At this point, 13 days have passed since the beginning of the project.
Now for the grand finale! If the girls and boys decide to team up and work together after 13 days, we can assume that they'll work at the same pace as before. So, in total, they've completed 3/5 of the work.
To find out how many more days they need to finish the remaining 2/5 of the work, we can do a little math. If 13 days got them to 3/5 completion, then it's safe to say that it'll take them another 13 days to wrap up the last 2/5 of the work.
So, in summary, it will take the girls and boys 13 more days to complete the remaining work. Time to roll up their sleeves and get back to it!
Given:
Number of girls = 24
Number of boys = 20
Number of days worked by girls = 3
Number of days worked by boys = 10
Fraction of work completed by girls = 1/5
Fraction of work completed by boys = 2/5
To find:
Number of days required to complete the remaining work when 24 girls and 20 boys work together.
Step 1: Calculate the total work done by 24 girls in 3 days.
Total work done by girls = Fraction of work completed by girls * Total work
Total work done by girls = (1/5) * 1
Total work done by girls = 1/5
Step 2: Calculate the total work done by 20 boys in 10 days.
Total work done by boys = Fraction of work completed by boys * Total work
Total work done by boys = (2/5) * 1
Total work done by boys = 2/5
Step 3: Calculate the total work done by girls and boys in 13 days.
Total work done in 13 days = Total work done by girls + Total work done by boys
Total work done in 13 days = 1/5 + 2/5
Total work done in 13 days = 3/5
Step 4: Calculate the remaining work after 13 days.
Remaining work = Total work - Total work done in 13 days
Remaining work = 1 - 3/5
Remaining work = 2/5
Step 5: Calculate the work done by 24 girls and 20 boys in one day.
Total work done in one day = Remaining work / Number of days
Total work done in one day = (2/5) / 13
Total work done in one day = 2/65
Step 6: Calculate the number of days required to complete the remaining work when 24 girls and 20 boys work together.
Number of days required = Remaining work / Total work done in one day
Number of days required = (2/5) / (2/65)
Number of days required = (2/5) * (65/2)
Number of days required = 13
Therefore, it will take 13 more days for 24 girls and 20 boys to complete the remaining work when they work together.
To solve this problem, we need to calculate the amount of work done by the girls and the boys separately and then combine them to find the total amount of work completed.
First, let's calculate the work done by the girls in the first 3 days.
We know that 24 girls completed 1/5 of the work in 3 days.
So, we can represent the total work as:
Total work = 5/1 * Work done by the girls in 3 days
Work done by the girls in 3 days = (1/5) * Total work
Now, let's calculate the work done by the boys in the next 10 days.
We know that 20 boys completed 2/5 of the work in 10 days.
So, we can represent the total work as:
Total work = 5/2 * Work done by the boys in 10 days
Work done by the boys in 10 days = (2/5) * Total work
Next, we need to find the total work completed by the girls and boys in 13 days.
Total work completed in 13 days = Work done by the girls in 3 days + Work done by the boys in 10 days
Now, let's calculate the remaining work.
Remaining work = Total work - Total work completed in 13 days
Finally, we can calculate the number of days required for 24 girls and 20 boys to complete the remaining work.
Number of days = Remaining work / (24 girls + 20 boys)
Using these steps, we can solve for the answer.
girls do 1/15 per day (1/5 / 3) ... 5/75
boys do 1/25 per day (2/5 / 10) ... 3/75
there is 2/5 remaining ... 30/75