## Not enough information?

Simplificatation, evaluation, linear equations, linear graphs, linear inequalities, basic word problems, etc.
Motherof8
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Joined: Sat Feb 12, 2011 12:32 am
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### Not enough information?

A can complete a piece of work in 21 hours. With the help of A, B can do it in 6 1/4 hrs. less time than he could do it alone. How many hrs. does B need to do it alone? What kind of equation do you need to solve this problem?

stapel_eliz
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A can complete a piece of work in 21 hours. With the help of A, B can do it in 6 1/4 hrs. less time than he could do it alone. How many hrs. does B need to do it alone? What kind of equation do you need to solve this problem?
To learn how to set up and solve this sort of exercise, please try this lesson.

Then use the set-up explained and demonstrated in the lesson:

. .. .time to complete task (hours):
. . . . .A: 21
. . . . .B: b
. . . . .together: b - 6.25

. . .completed per time unit (hours):
. . . . .A: 1/21
. . . . .B: 1/b
. . . . .together: ...

...and so forth.

Motherof8
Posts: 46
Joined: Sat Feb 12, 2011 12:32 am
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### Re: Not enough information?

I used this equation: 1/21 +1/b = 1/b-6.25, tried to have it worked out on Mathway and was told it had no solution.

stapel_eliz
Posts: 1628
Joined: Mon Dec 08, 2008 4:22 pm
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I used this equation: 1/21 +1/b = 1/b-6.25, tried to have it worked out on Mathway and was told it had no solution.
If you entered the equation as you've posted above (that is, without grouping symbols for the denominator on the right-hand side), then there clearly is no solution.

However, if you multiply through to clear the denominators, you will find that you get a quadratic equation that is quite solveable.