Open study

is now brainly

With Brainly you can:

  • Get homework help from millions of students and moderators
  • Learn how to solve problems with step-by-step explanations
  • Share your knowledge and earn points by helping other students
  • Learn anywhere, anytime with the Brainly app!

A community for students.

This is really hard D8 A tank can be filled by one pipe in four hours and by a second pipe in six hours; and when it is full, the tank can be drained by a third pipe in three hours. If the tank is empty and all three pipes are open, in how many hours will the tank be filled? 8 hours 12 hours 24 hours

Mathematics
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Join Brainly to access

this expert answer

SEE EXPERT ANSWER

To see the expert answer you'll need to create a free account at Brainly

You have that the first pipe can fill the tank in 4 hours. This means that it fills the tank 1/4 full each hour. Suppose we have x hours. After x hours, it is filled to (1/4)*x. We can test this by looking at how full it should be after 4 hours. (1/4)*4 = 1, or one full tank. The second pipe will fill after 6 hours, which means it fills 1/6 of the tank every hour. So we have 1/6x as the height of the tank if only the second pipe is turned on. Add both of these together to get \[\frac{1}{4}x+\frac{1}{6}x\]as the amount of water entering the tank. The amount of water leaving the tank is (1/3)x, because it takes three hours to drain a full tank. We want to know how much time it takes to fill the tank. In other words, we want 1 full tank. So the left side of the equation will look like 1=... The entire equation should look like this: \[1=\frac{1}{4}x+\frac{1}{6}x-\frac{1}{3}x\] If you remember your fractions, you should be able to solve for x from there.
Thank you<3
Sure thing :) . Did that make sense?

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

Perfect sense. Thank you again.

Not the answer you are looking for?

Search for more explanations.

Ask your own question