SOLUTION: Bill wastes 9 hours and receives a 60% on an Algebrat test. How many hours did Bill waste if he receives a 90%? Assume time wasted is inversely proportional to an Algebra test grad

Question 1132400: Bill wastes 9 hours and receives a 60% on an Algebrat test. How many hours did Bill waste if he receives a 90%? Assume time wasted is inversely proportional to an Algebra test grade.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
60% means 0.6.
90% means 0.9.

Inverse variation wanted, so for time x "wasted" and k proportionality constant, score y,

Model can be .

If score were 0.9, then

----------wasted 6 hours
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.

One can consider the condition as absurdist, because the greater work was done faster. But I entirely agree with this condition and find it very realistic, because the person who knows a subject better, will do the work faster.

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