Concept explainers
To find the time taken to fill the tank by larger pipe alone, also tell the variable in which given situation should be defined, and write the fraction of tank filled in 1 hour by the larger pipe alone and by smaller pipe alone.
Answer to Problem 39PPE
Time taken by larger pipe alone is
Time taken to fill the tank by smaller pipe alone is
Variable x is used to define the time taken by larger pipe to fill the tank alone.
Explanation of Solution
Given:
Time taken to fill the tank is 9 hours.
Time taken by smaller pipe is three times as the time taken by the larger pipe.
Calculation:
To find the time taken to fill the tank by larger pipe alone first define the given situation using a variable.
Since, time taken by smaller pipe is three times as the time taken by the larger pipe, that means if the time taken by the larger pipe is x , then time taken by the smaller pipe is 3x
Now, the total time taken by the both pipes to fill the tank is 9 hours that means
Thus, time taken by larger pipe alone is
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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