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2 rate change questions and 2 concentration questions

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1) A container is partially filled with 12 liters of whole milk containing 4% butterfat. How much 1% milk must be added to get a mixture that is 2% butterfat? Construct a table, then solve.

2) An 80-pound grass seed mixture is 30% bluegrass seed. How many pounds of seed containing no bluegrass seed (0%) should be added to the seed mixture for a resulting blend that is 20% bluegrass seed? Construct a table, then solve.

3) A boat travels 60 km upstream (against the current) in 5 hours. The boat travels the same distance downstream in 3 hours. What is the rate of the boat in still water?

4) A duck can fly 2400 m in 10 minutes with the wind. Against the wind, it can fly only 2/3 of this distance in 10 minutes. What is the rate of the wind?

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Solution Summary

q1 & 2: You have so much of one mixture of substances A & B and you have to add an amount of another mixture with a different ratio of these substances to obtain a target concentration. To solve questions like this, you have to keep track of how much of each substance and the total amount in tabular form.

q3 & 4: These are relative speed questions (i.e. rate of change of distance). They are solved by taking the information that you are given and using the definition of speed (v=d/t) to find out the answer.

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