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Yakvenalex [24]
4 years ago
12

Working together, two pumps can drain a certain pool in 5 hours. if it takes the older pump 15 hours to drain the pool by itself

, how long will it take the newer pump to drain the pool on its own? do not do any rounding. hours
Mathematics
1 answer:
solniwko [45]4 years ago
8 0
There is a formula:
(Pump1 Time * Pump2 Time) / (Pump1 Time + Pump2 Time) = Total Time
Let's say Pump 1 is the old pump
(15 * Pump2 Time) / (15 + Pump2 Time) = 5 Hours
Solving for Pump 2 time
Pump 2 time = (Pump 1 time * Total Time) / (Pump 1 time - Total Time)
Pump 2 time = (15 * 5) / (15 - 5)
Pump2 time = 75 / 10
Pump2 time = 7.5 Hours
and Happy New Year!!!!!

Double Check
(15 * 7.5) / (15 + 7.5) = Total Time
112.5 / 22.5 = 5 Hours Total

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The area of a rectangle is represented by x^2- 7x + 10. What are the missing side lengths of the rectangle?
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1 year ago
A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at
vitfil [10]

Complete question

A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 7 meters per minute. At a certain instant, the bottom of the ladder is 21 meters from the wall.

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Answer:

\frac{dx}{dt}=11.94m/min

Step-by-step explanation:

From the question we are told that

Slant height z=29m

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Horizontal length x=21

Generally in finding the distance form the  top to the bottom of the wall it is mathematically given by

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Generally solving for the differential equation is mathematically represented as

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 x*\frac{dx}{dt} +y*\frac{dy}{dt} =0

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 \frac{dx}{dt}=\frac{250.64}{21}

 \frac{dx}{dt}=11.94m/min

5 0
3 years ago
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