Question
Two pipes can fill a tank in 3 hours working together. If one pipe can fill the tank in 4 hours, how long does it take the other pipe to fill the tank alone?
Two pipes can fill a tank in 3 hours working together. If one pipe can fill the tank in 4 hours, how long does it take the other pipe to fill the tank alone?
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Koala Tutor
Koala Ai Support
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Let's assume that the other pipe can fill the tank alone in "x" hours.
So, the rate of work of the other pipe is 1/x tank per hour.
Given that working together, both pipes can fill the tank in 3 hours.
The rate of work of both pipes working together is 1/3 tank per hour.
Now, using the formula: rate × time = work
we can set up the following equation:
1/4 + 1/x = 1/3
To solve for x, we'll multiply both sides of the equation by 12x:
3x + 12 = 4x
Now, subtract 3x from both sides of the equation:
12 = x
Therefore, the other pipe would take 12 hours to fill the tank alone.
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