Officials begin to release water from a full man-made lake at a rate that would empty the lake in 14 weeks, but a river that can fill the lake in 25 weeks is replenishing the lake at the same time. How many weeks does it take to empty the lake? Express your answer as a fraction reduced to lowest terms, if needed.

Question

05-09-2022
Mathematics

Answered

Officials begin to release water from a full man-made lake at a rate that would empty the lake in 14 weeks, but a river that can fill the lake in 25 weeks is replenishing the lake at the same time. How many weeks does it take to empty the lake? Express your answer as a fraction reduced to lowest terms, if needed.

Answer :

Other Questions

Fill in the blanks in the following table and then answer the question that follows. (Note: Round your answers to two decimal places. For example, round 0.6666

Between 9pm and 6:54am, the water level in a swimming pool decreased by 11/20 in. Assuming that the water decreased at a constant rate, how much did the water l

Opportunity cost of your resource is defined as "the value associated with the next best use of that resource (which you must give up)." Decisions you make shou

What did you include in your response? Check all that apply. For f(3), the input is 3 and you are looking for the output. To determine the function's value when

Using the graph, what is the solution to −x^2+3≥− 1? How can you tell?Enter your answer.

A polling agency is trying to estimate p, the fraction of the voters that support a particular candidate for office. They survey n voters uniformly at random an

4. Points A, S, and T are collinear and appear in that order. Point A is at (-4, 2), and Point T is at (4, -4). Point S is the midpoint of AT. SQ, SB, and SD in

It is thought that a computer virus would spread in an office according to an exponential model. 6 computers were infected initially. The number of computers in

Among fatal plane crashes that occurred during the past 65 years, 260 were due to pilot error, 62 were due to other human error, 315 were due to weather, 682 w

AFOKE88 AFOKE88 · Answer 1 · 2022-09-08T13:03:01-04:00

The number of weeks that it takes to empty the lake is; 350/11 weeks

How to solve fraction problems?

We are told that Officials begin to release water from a full man-made lake at a rate that would empty the lake in 14 weeks, but a river that can fill the lake in 25 weeks is replenishing the lake at the same time.

Let w = number of weeks required to empty the lake

let the completed job = 1 (an empty lake)

Thus;

w/14 - w/25 = 1

Multiply through by 350 to get;

25w - 14w = 350

11w = 350

w = 350/11 weeks

Thus, the number of weeks that it takes to empty the lake is; 350/11 weeks

Read more about Fraction Problems at; https://brainly.com/question/24132459

#SPJ1