If both faucets are used together, it time taken by them to fill the tub is 4.8 minutes.
Time and work share a fundamental idea in common with other arithmetic topics, namely the idea of proportionality.
When the amount of work is constant, efficiency is inversely proportional to the length of time required.
Important Time and Work Formula:
Calculation for the time taken by both faucet to fill the tub.
The unit should be tub per minute.
Then, do the reciprocal of the result to have minute per tub.
The hot water faucet can fill the tub in 12 minutes.
The cold water faucet can fill the tub in 8 minutes.
The filling rate for both faucets filling the tub at the same time is the sum of their rates.
Let 't' be the time taken by both faucets.
Then,
[tex]\frac{1}{12} +\frac{1}{8} =\frac{1}{t}[/tex]
[tex]\frac{8+12}{8*12} =\frac{1}{t}[/tex]
[tex]\frac{1}{t} =\frac{20}{96}[/tex]
[tex]\frac{t}{1} =\frac{96}{20}[/tex]
t = 4.8
Therefore, the time taken by both faucets to fill the tub is 4.8 minutes.
To know more about the formula for calculating power, here
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