A swimming pool is filled in 30 hours by two identical pumps. How much quicker would it be filled if five similar pumps were used instead?

30x2=60 (to find one pump) 60/5=12
It would take 12 hours so it would be quicker by 18 hours

Answered by Gazoonia | 2024-06-10

If five **similar **pumps were used instead, the swimming pool will be filled 18 hours quicker .
Given that:
A swimming pool is filled in 30 hours by two identical pumps.
So, the **rate **at which two pumps fill the pool is 1/30.
Let x be the time taken by 1 pump to fill the tank.
Then the rate at which the pool is filled by each tank = 1/x.
So,
1/x + 1/x = 1/30
2/x = 1/30
x = 2 × 30
x = 60.
So, a pump will take 60 **hours **to fill the tank if it is filled alone.
If five pumps are used instead,
1/60 + 1/60 + 1/60 + 1/60 + 1/60 = 1/t
5/60 = 1/t
5t = 60
t = 12
So, it will take 12 hours to fill the pool by 5 pumps.
So 5 pumps will fill the tank 30 - 12 = 18 hours quicker.
Learn more about **Rate **here :
https://brainly.com/question/19451577
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Answered by chahatmidda02 | 2024-06-17

Using five pumps will fill the swimming pool in 12 hours, which is 18 hours quicker than the 30 hours it takes with two pumps. Each pump fills at a rate of 1/60 pools per hour. Therefore, the increased number of pumps significantly reduces the total time to fill the pool.
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Answered by chahatmidda02 | 2024-10-11