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Ratio, Rate, and Proportion
If it takes 5 identical firetrucks 5 minutes to pump 5 kiloliters of water onto a fire, how long will it take 8 firetrucks pump 8 kiloliters? Hint: the answer isn't 8 minutes.
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
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Concept Quizzes
The value of \(y\) varies inversely with \(x.\) If \(y=6\) when \(\displaystyle x=\frac{8}{3},\) what is the value of \(y\) when \(x=5 ?\)
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.
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by Brilliant Staff
Suppose there is a water faucet that can fill a \(575\)-liter-tank in \(100\) minutes. How many faucets do we need to fill this tank in \(4\) minutes?
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
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including olympiad champions, researchers, and professionals.
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by Brilliant Staff
A cruise ship rents for \(\$800\) a day. If \(8\) people go on a one-day trip by this ship, what is the cost per capita?
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.
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by Brilliant Staff
Calvin is planning to visit his hometown during Thanksgiving Holidays. It will take \(9\) hours if he drives at \(85 \text{ km/h}.\) How long will it take if he drives at \(102 \text{ km/h} ?\)
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
Learn from a vibrant community of students and enthusiasts,
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by Brilliant Staff
If \(z\) varies directly as \(x\) and inversely as \(y,\) how many times larger does \(z\) get if \(x\) is increased by \(2\) times and \(y\) is decreased by \(7\) times?
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.
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by Brilliant Staff