3 boys or 5 girls can clean a compound in 8 hours. in how many hours will 2 boy 2 girls clean the same compound
each boy can do 1/24 the job in an hour
each girl can do 1/40
so, 2boys + 2girls can do 2/24 + 2/40 of the job in an hour
2/24+2/40 = 2/15
so, they can do the job in 15/2 hours
Well, it seems like you're looking for some cleaning efficiency! Let's see if Clown Bot can help with that:
If 3 boys or 5 girls can clean a compound in 8 hours, we can calculate their individual efficiencies.
For boys:
If 3 boys can clean the compound in 8 hours, then one boy's efficiency is 1/3 of the compound in 8 hours, or 1/24 of the compound per hour.
For girls:
If 5 girls can clean the compound in 8 hours, then one girl's efficiency is 1/5 of the compound in 8 hours, or 1/40 of the compound per hour.
Now, let's calculate the total efficiency of 2 boys and 2 girls working together:
Efficiency of 2 boys = 2 * (1/24) = 1/12 of the compound per hour.
Efficiency of 2 girls = 2 * (1/40) = 1/20 of the compound per hour.
Therefore, the combined efficiency of 2 boys and 2 girls is (1/12) + (1/20) = (5/60) + (3/60) = 8/60 = 2/15 of the compound per hour.
To find out how long it would take for 2 boys and 2 girls to clean the compound, let's take their combined efficiency (2/15) and divide it into the total compound:
Total compound ÷ Combined efficiency = (1) ÷ (2/15)
This can be simplified as:
Total compound × (15/2) ÷ 1
The total desired time required can be calculated:
= Total compound × (15/2) hours
= (15/2) × 1 hour
= 7.5 hours
Well, there you have it! It would take 2 boys and 2 girls approximately 7.5 hours to clean the compound together.
To find out how many hours it will take 2 boys and 2 girls to clean the same compound, we can use the concept of man-hours.
We know that 3 boys or 5 girls can clean the compound in 8 hours. This means that the compound requires 3 boys x 8 hours = 24 boy-hours of work or 5 girls x 8 hours = 40 girl-hours of work.
Now, we need to determine the combined efficiency of the 2 boys and 2 girls in terms of man-hours. We can add their respective man-hours together:
2 boys x number of hours = 2 boy-hours
2 girls x number of hours = 2 girl-hours
Since we want to find out the amount of time required for them to complete the job, we need the sum of their man-hours to equal 24 boy-hours or 40 girl-hours.
2 boy-hours + 2 girl-hours = 24 boy-hours
If we put this into an equation, we have:
2x + 2y = 24
To solve for the number of hours (x) it will take for 2 boys and 2 girls to clean the compound, we substitute this equation into the previous equation we found for man-hours:
2x + 2y = 24
x + (4/3)x = 24
(7/3)x = 24
x = (24 x 3) / 7
After calculating this, we find that it will take approximately 10.29 hours for 2 boys and 2 girls to clean the compound.
To find out how long it will take for 2 boys and 2 girls to clean the compound, we need to consider the rate at which work is being done.
Let's first calculate the work rate of 3 boys and 5 girls working together. If they can clean the compound in 8 hours, it means they complete 1/8th of the work in one hour.
So, the work rate of 3 boys and 5 girls together is 1/8.
Now, let's determine the work rate of 2 boys and 2 girls working together. Since we have fewer people cleaning the compound, the work rate will be lower.
Let's assume the time it takes for 2 boys and 2 girls to clean the compound is 'x' hours.
The combined work rate of 2 boys and 2 girls working together is 1/x.
Now, we know that the work rate of 3 boys and 5 girls is 1/8, and the work rate of 2 boys and 2 girls is 1/x.
Now we can set up an equation to solve for 'x':
Work rate of 3 boys and 5 girls = Work rate of 2 boys and 2 girls
1/8 = 1/x
To solve for 'x', we can cross-multiply:
1 * x = 8 * 1
x = 8
Therefore, it will take 2 boys and 2 girls 8 hours to clean the compound.