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kaylaaguilar6538
14.02.2020 •
Mathematics
Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool. They know that it takes 12 h using both hoses. They also know that Bob's hose, used alone, takes 20% less time than Jim's hose alone. How much time is required to fill the pool by each hose alone?
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Ответ:
Jim's hose: 27 hours.
Bob's hose: 21.6 hours.
Step-by-step explanation:
Let t represent hours taken by Jim's hose.
Part of pool filled by Jim's hose in 1 hour would be
.
We have been given that Bob's hose, used alone, takes 20% less time than Jim's hose alone. This means that Bob's hose take will take 80% time of Jim's hose that is
.
Part of pool filled by Bob's hose in 1 hour would be
.
We are also told that it takes 12 hours using both hoses. Part of pool filled by both hoses in 1 hour would be
.
Now, we will add rates of both hoses and equate with
as:
Cross multiply:
Therefore, it will take 27 hours for Jim's hose to fill the pool alone.
Time take by Jim's hose alone:
.
Therefore, it will take 21.6 hours for Bob's hose to fill the pool alone.
Ответ:
Slope = - 3
Step-by-step explanation:
y = mx + b where m = slope
In this case
3x + y = -4
y = -3x - 4
Slope = - 3