To calculate: The time it will take by both the

Wribreeminsl

Wribreeminsl

Answered question

2021-08-10

To calculate: The time it will take by both the pumps to complete the job if they work together.
Given information: One pump takes 24 minutes by itself to fill the pool and other one take 56 minutes by itself to fill the pool.

Answer & Explanation

Cristiano Sears

Cristiano Sears

Skilled2021-08-11Added 96 answers

Formula used:
An equation that equates two rates of ratios is called proportions.
ab=cd
Where (b0,d0)
To solve the proportions multiply both sides of the equation by LCD.
Calculation:
One pump take 24 minutes in filling pool while second pump take 56 minutes in filling pool.
Let x be the time to fill the pool if both the pumps were working together.
Hence, in 1 minute the first pump can fill 124 of the pool, whereas second pump can fill 156 of the pool.
Hence, together they can fill 1x of the pool. Consider the provided proportion will be as:
124+156=1x
Hence the LCD of the provided proportion is 168x.
Hence, multiply both sides of the equation by 168x as:
(168x)124+(168x)156=1x(168x)
Further simplify as:
(168x)124+(168x)156=1x(168x)
7x+3x=168
10x=168
Now divide both sides of the equation by 10 as:
10x=168
10x10=16810
Now, use Ti-83 calculator to solve the expression 16810,
Step 1: Press On key to turn on the calculator.
Step 2: Enter the expression 16810.
Step 3: Press Enter key to calculate the value as,
16810=16.8
Hence, if both pumps will work together then they will fill the pool in 16.8 minutes.

Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-17Added 2605 answers

Answer is given below (on video)

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