- #1
calbeach900
- 1
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The assignment states:
Pipe A takes 20 hours longer to fill swimming pool than pipe B. Together, pipe A and pipe B can fill the swimming pool in 30 hours.
The assignment question I am stuck on is to write a function R(x) that models the combined rate of the two pipes in relation to the time it takes for pipe B to do it by itself. After I have come up with the R(x) function, I will need to graph that function for my assignment.
I already know how to solve for the individual times for each pipe where:
1/job 1 + 1/job 2 = 1/total
time to fill with Pipe B = x
time to fill Pipe A = x+20
1/x + 1/(x+20) = 1/30
Solving for x will give me the rates of the individual pipes.
The assignment question I am stuck on is I can't figure out how to write the function R(x) that models the combined rate of the two pipes in relation to the time it takes for pipe B to do it by itself.
Pipe A takes 20 hours longer to fill swimming pool than pipe B. Together, pipe A and pipe B can fill the swimming pool in 30 hours.
The assignment question I am stuck on is to write a function R(x) that models the combined rate of the two pipes in relation to the time it takes for pipe B to do it by itself. After I have come up with the R(x) function, I will need to graph that function for my assignment.
I already know how to solve for the individual times for each pipe where:
1/job 1 + 1/job 2 = 1/total
time to fill with Pipe B = x
time to fill Pipe A = x+20
1/x + 1/(x+20) = 1/30
Solving for x will give me the rates of the individual pipes.
The assignment question I am stuck on is I can't figure out how to write the function R(x) that models the combined rate of the two pipes in relation to the time it takes for pipe B to do it by itself.