
Через первую трубу бассейн наполняется за 3ч,а через вторую за 16ч .Перваятруба проработала 1ч ,а
вторая 8ч.Какую часть бассейна осталлсь наполнить ?

Ответы на вопрос




Problem Analysis
We are given two pipes, where the first pipe can fill a pool in 3 hours and the second pipe can fill the same pool in 16 hours. The first pipe has been working for 1 hour, and the second pipe has been working for 8 hours. We need to determine the remaining fraction of the pool that needs to be filled.Solution
To solve this problem, we can calculate the rates at which each pipe fills the pool and then use the rates to determine the fraction of the pool filled by each pipe. Finally, we can subtract the sum of the fractions filled by both pipes from 1 to find the remaining fraction.Let's calculate the rates at which each pipe fills the pool:
- The first pipe fills the pool in 3 hours, so its rate is 1/3 of the pool per hour. - The second pipe fills the pool in 16 hours, so its rate is 1/16 of the pool per hour.
Now, let's calculate the fraction of the pool filled by each pipe:
- The first pipe has been working for 1 hour, so it has filled 1/3 of the pool. - The second pipe has been working for 8 hours, so it has filled 8/16 = 1/2 of the pool.
To find the remaining fraction of the pool, we subtract the sum of the fractions filled by both pipes from 1:
Remaining fraction = 1 - (1/3 + 1/2)
Let's calculate the remaining fraction:
Remaining fraction = 1 - (1/3 + 1/2) = 1 - (2/6 + 3/6) = 1 - 5/6 = 1/6
Therefore, 1/6 of the pool is still left to be filled.
Answer
The remaining fraction of the pool that needs to be filled is 1/6.

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