For all these problems, it is not enough to simply state an answer; you must show your work in such a way that your reasoning is clear. Give all answers to at least two significant figures.
From section 1E: Do problems 12, 20, 22, 32, and 36.
From section 2C: Do problem 8.
George and Martha: George and Martha had a race. By the time George reached the finish line, Martha was already 5 meters beyond the finish line. (Assume that she kept running at the same speed for the whole time that George was running, even after she'd won.) They decide to race again, but this time Martha gives George a head-start by letting him start the race 5 meters past the starting line. Assuming that both runners run at the same pace as before, who will win? (Is there enough information to solve this problem? Notice that I did not specify the length of the race in meters. Of course it is more than 5 meters, or else the problem would not make sense.)
Coffee and Milk, continued:
I had mug containing 1 cup of pure coffee
and a jug containing 2 cups of pure milk.
I took some teaspoonfuls from the mug,
put them into the jug, and stirred.
Then I took an equal number of teaspoonfuls from the jug,
put them into the mug, and stirred.
So now the mug contains 1 cup of liquid that's part coffee and part milk,
and the jug contains 2 cups of liquid that's part milk and part coffee.
Part (a): Is there (1) more coffee in the milk jug than milk in the
coffee mug, (2) less coffee in the milk jug than milk in the coffee mug,
or (3) equal amounts of coffee in the milk jug and milk in the coffee mug?
Or is it impossible to determine which of (1)-(3) is true without
more information?
Part (b): Is there (1) more coffee in the coffee mug than milk in the
milk jug, (2) less coffee in the coffee mug than milk in the milk jug,
or (3) equal amounts of coffee in the coffee mug and milk in the milk jug?
Or is it impossible to determine which of (1)-(3) is true without
more information?