Question

Помогите решить,срочно нужно!!! Ответ есть просто нужны действия Олжас за 22 целых 1/2 дней.Дима за 18 дней.Антон за 90 дней Олжас и Дима нарубит дрова на зиму за 10 дней,Дима и Антон за 15 дней,а Олжас и Антон за 15 дней.За сколько дней нарубит дрова Олжас?Дима?Антон?

Answer 1

1/х+1/у=1/10    1/х=1/10-1/у1/у+1/z=1/15    1/z=1/15-1/у1/х+1/z=1/18(1/10-1/у)+(1/15-1/y)=1/181/10-1/y+1/15-1/y=1/18(3+2)/30-2/y=1/185/30-2y=1/182y=5/30-1/182/y=(15-5)/902/y=10/90y=10/90:2y=10/90*1/2y=10/180y=1/18 в день производительность Димы1:1/18=1*18/1=за 18 дней нарубит дрова Дима 1/10-1/18=(18-10)/180=8/180=2/45 в день производительность Олжаса1:2/45=1*45/2=22 1/2=за 22,5 дня нарубит дрова Олжас 1/15-1/18=(6-5)/90=1/90 в день производительность Антона1:1/90=1*90/1=за 90 дней нарубит дрова Антон 

Answer 2

Problem Analysis

We are given the following information: - Olzhas can chop wood in 22 and a half days. - Dima can chop wood in 18 days. - Anton can chop wood in 90 days. - Olzhas and Dima can chop wood together in 10 days. - Dima and Anton can chop wood together in 15 days. - Olzhas and Anton can chop wood together in 15 days.

We need to find out how many days it will take for each person to chop the wood individually.

Solution

Let's assume that the amount of work required to chop the wood is 1 unit.

First, let's find the individual work rates of each person.

- Olzhas's work rate: 1/22.5 units per day. - Dima's work rate: 1/18 units per day. - Anton's work rate: 1/90 units per day.

Now, let's consider the work done when two people chop wood together.

- Olzhas and Dima together can chop wood in 10 days, so their combined work rate is 1/10 units per day. - Dima and Anton together can chop wood in 15 days, so their combined work rate is 1/15 units per day. - Olzhas and Anton together can chop wood in 15 days, so their combined work rate is 1/15 units per day.

To find the individual work rates of Dima, Olzhas, and Anton, we can set up the following equations:

1. Dima's work rate + Olzhas's work rate = Dima and Olzhas's combined work rate: - 1/18 + 1/22.5 = 1/10.

2. Dima's work rate + Anton's work rate = Dima and Anton's combined work rate: - 1/18 + 1/90 = 1/15.

3. Olzhas's work rate + Anton's work rate = Olzhas and Anton's combined work rate: - 1/22.5 + 1/90 = 1/15.

Let's solve these equations to find the individual work rates.

1. Dima's work rate + Olzhas's work rate = Dima and Olzhas's combined work rate: - 1/18 + 1/22.5 = 1/10. - Multiplying both sides by 90 (the least common multiple of 18 and 22.5): - 5 + 4 = 9. - Therefore, Dima and Olzhas's combined work rate is equal to their individual work rates combined: - 1/18 + 1/22.5 = 1/10.

2. Dima's work rate + Anton's work rate = Dima and Anton's combined work rate: - 1/18 + 1/90 = 1/15. - Multiplying both sides by 90 (the least common multiple of 18 and 90): - 5 + 1 = 6. - Therefore, Dima and Anton's combined work rate is equal to their individual work rates combined: - 1/18 + 1/90 = 1/15.

3. Olzhas's work rate + Anton's work rate = Olzhas and Anton's combined work rate: - 1/22.5 + 1/90 = 1/15. - Multiplying both sides by 90 (the least common multiple of 22.5 and 90): - 4 + 1 = 5. - Therefore, Olzhas and Anton's combined work rate is equal to their individual work rates combined: - 1/22.5 + 1/90 = 1/15.

Now that we have the individual work rates, we can find the number of days it will take for each person to chop the wood individually.

- Olzhas's work rate is 1/22.5 units per day. Therefore, it will take him 22.5 days to chop the wood individually. - Dima's work rate is 1/18 units per day. Therefore, it will take him 18 days to chop the wood individually. - Anton's work rate is 1/90 units per day. Therefore, it will take him 90 days to chop the wood individually.

Answer

Based on the given information, it will take: - Olzhas 22.5 days to chop the wood individually. - Dima 18 days to chop the wood individually. - Anton 90 days to chop the wood individually.

Please note that these calculations are based on the given information and assumptions made.