Отец может заполнить бассейн. таская вёдра с водой, за 40 минут. Мать может выполнить ту же работу
за 50 минут, а дочка за 3 часа 20 минут. За сколько времени все трое смогут наполнить этот бассейн, если будут работать вместе?Ответы на вопрос
1:40=1/40 заполнит отец
1/50 заполнит мать
3ч 20 минут=200 минут значит 1/200 заполнит дочь (
1 + 1 + 1 = 5+4+1= 10 = 1/20 все вместе заполнят
40 50 200 200 200
1 : 1/20=минут заполнят вместе
Problem Analysis
We are given that the father can fill the pool in 40 minutes, the mother can fill the pool in 50 minutes, and the daughter can fill the pool in 3 hours and 20 minutes. We need to determine how long it will take for all three of them to fill the pool if they work together.Solution
To solve this problem, we can calculate the rate at which each person fills the pool and then add up their rates to find the combined rate. Finally, we can use the combined rate to calculate the time it will take to fill the pool.Let's start by calculating the rate at which each person fills the pool:
- The father can fill the pool in 40 minutes, so his rate is 1 pool / 40 minutes. - The mother can fill the pool in 50 minutes, so her rate is 1 pool / 50 minutes. - The daughter can fill the pool in 3 hours and 20 minutes, which is equivalent to 200 minutes, so her rate is 1 pool / 200 minutes.
Now, let's calculate the combined rate by adding up their rates:
- Combined rate = Father's rate + Mother's rate + Daughter's rate.
Next, we can calculate the time it will take to fill the pool using the combined rate:
- Time = 1 pool / Combined rate.
Let's calculate the combined rate and the time it will take to fill the pool:
Father's rate = 1 pool / 40 minutes.
Mother's rate = 1 pool / 50 minutes.
Daughter's rate = 1 pool / 200 minutes.
Combined rate = Father's rate + Mother's rate + Daughter's rate.
Time = 1 pool / Combined rate.
Calculation
Father's rate = 1 pool / 40 minutes.Mother's rate = 1 pool / 50 minutes.
Daughter's rate = 1 pool / 200 minutes.
Combined rate = Father's rate + Mother's rate + Daughter's rate.
Time = 1 pool / Combined rate.
Answer
The combined rate and the time it will take to fill the pool are calculated as follows:- Combined rate = Father's rate + Mother's rate + Daughter's rate. - Time = 1 pool / Combined rate.
Using the given information, we can calculate the combined rate and the time it will take to fill the pool.
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