Question

Один насос наполняет бак нефтью за 16 мин, второй – за 15 минут, а третий за 18 минут. Какая часть бака будет наполнена нефтью в течении 1мин. Тремя насосами.

Answer 1

1:16=1/16 в минуту заполняет первый насос

1:15=1/15 в минуту заполняет второй насос

1:18=1/18 в минуту заполняет третий насос

 

1/16+1/15+1/18=(45+48+40)/720=133/720 бака будет наполнена нефтью за 1минуту

Answer 2

Problem Analysis

We are given three pumps that fill an oil tank in different amounts of time. We need to determine what fraction of the tank will be filled in 1 minute using all three pumps.

Solution

To find the fraction of the tank that will be filled in 1 minute using all three pumps, we need to calculate the combined rate at which the pumps fill the tank.

Let's denote the rates of the three pumps as follows: - Pump A fills the tank in 16 minutes. - Pump B fills the tank in 15 minutes. - Pump C fills the tank in 18 minutes.

To calculate the combined rate, we can add up the rates of the individual pumps. The rate is the reciprocal of the time taken to fill the tank. Therefore, the combined rate is given by:

Combined rate = 1/Time taken by Pump A + 1/Time taken by Pump B + 1/Time taken by Pump C

Let's substitute the given values into the formula:

Combined rate = 1/16 + 1/15 + 1/18

Now, we can calculate the combined rate and find the fraction of the tank that will be filled in 1 minute using all three pumps.

Calculation

Let's calculate the combined rate:

Combined rate = 1/16 + 1/15 + 1/18

Using a calculator or performing the calculations manually, we find that the combined rate is approximately 0.350.

Therefore, the fraction of the tank that will be filled in 1 minute using all three pumps is approximately 0.350.

Conclusion

In conclusion, when all three pumps are used together, approximately 0.350 or 35% of the tank will be filled in 1 minute.

Please note that the values provided in the search results snippets were not relevant to the problem and were not used in the solution.