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Word problems

12.
The second of three negative numbers is 6 less than the first negative number. The third negative number is 3 times the second number. Find the set of all possible third numbers given that twice the sum of the first two numbers is greater than the third number.

13. A woman can row 11 miles downstream in the same time it takes her to row 7 miles upstream. She rows downstream for 3 hours, then turns and rows back for 4 hours, but finds she is still 5 miles from where she started the trip. How fast does the stream flow?

Solution Preview

12. Suppose the three negative numbers are x,y,z, from the first to the third.
Let's check the conditions.
(1) The second of three negative numbers is 6 less than the first negative number.
y=x-6
(2) The third negative number is 3 times the second number.
z=3y
(3) Twice the sum of the first two numbers is greater ...

Solution Summary

There are two word problems here, one regarding a set of negative numbers, and one regarding the speed of a stream.

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