Plse help
I am asking again
During rainy season, huge inflow of water takes place into a reservoir. Measures are taken to clear the reservoir while water keeps flowing into it at a constant rate. It has been observed that seven and five men can clear the reservoir in 20 and 50 days, respectively, with the initial quantity of water in the reservoir being 24 and 36 kilolitres, respectively. What is the rate of inflow of water into the reservoir in litres per day?
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did you not try working it out in the last three hours?
To find the rate of inflow of water into the reservoir, we need to determine the amount of water cleared by the men in a day and then subtract it from the total initial quantity of water to find the inflow rate.
Let's start by determining the rate at which one man can clear the reservoir. We can use the concept of man-days, which is the work done by one man in one day.
For the first case, we are given that seven men can clear the reservoir in 20 days. So, the work done by these men is equal to 7 x 20 = 140 man-days.
Similarly, for the second case, we are given that five men can clear the reservoir in 50 days, which means the work done by these men is 5 x 50 = 250 man-days.
Now, let's calculate the work done by one man in a day for each case. For the first case, one man's work per day is 140 / 7 = 20 man-days.
For the second case, one man's work per day is 250 / 5 = 50 man-days.
Next, we need to convert the work done by one man in a day into the amount of water cleared.
We are given that the initial quantity of water for the first case is 24 kilolitres. Since 1 kilolitre is equal to 1000 litres, the total amount of water in litres is 24 x 1000 = 24,000 litres.
Dividing the total amount of water by the work done by one man in a day, we get 24,000 / 20 = 1200 litres. So, one man can clear 1200 litres of water in a day in the first case.
Similarly, for the second case, we have an initial quantity of water of 36 kilolitres, which is 36 x 1000 = 36,000 litres.
Dividing this by the work done by one man in a day, we get 36,000 / 50 = 720 litres. So, one man can clear 720 litres of water in a day in the second case.
Finally, to find the rate of inflow of water, we subtract the amount of water cleared by the men from the initial quantity of water.
For the first case, the rate of inflow of water is 1200 litres per day - 20 litres per day (one man's work per day) = 1180 litres per day.
For the second case, the rate of inflow of water is 720 litres per day - 50 litres per day (one man's work per day) = 670 litres per day.
Therefore, the rate of inflow of water into the reservoir is 1180 litres per day for the first case and 670 litres per day for the second case.