SOLUTION: (1 pt) Stan and Hilda can mow the lawn in 35 min if they work together. If Hilda works twice as fast as Stan, how long would it take Stan to mow the lawn alone? a) Write an e

Question 1142771: (1 pt) Stan and Hilda can mow the lawn in 35 min if they work together. If Hilda works twice as fast as Stan, how long would it take Stan to mow the lawn alone?
a) Write an equation for the percent of the job completed after 35 minutes. Use the variable r to represent the rate at which Stan mows.
Answer:
b) How long would it take Stan to mow the lawn alone? Include the appropriate units in your answer.
Answer:

Found 3 solutions by josgarithmetic, ikleyn, greenestamps:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
Stan's rate LAWN per MINUTES
Hilda's rate

-------solve for x, the time for Stan doing the job alone.

Solution as done was not exactly according to instructions in part (a).
Answer by ikleyn(52898)   (Show Source): You can put this solution on YOUR website!
.

The instructions (or hints) that go with your post, are IRRELEVANT to the problem solution (as in part (a) ),

or simply scare the tutors (as in part (b) ).

How may an answer to this problem go without appropriate units ?   -- Only in the case if it is DEFECTIVE.

How may an answer to ANY problem go without appropriate units ?   -- Only in the case if it is DEFECTIVE.

Without these instructions, the problem would be much more attractive for tutors, and you would obtain much more interesting solutions.

/\/\/\/\/\\/

Let me reveal one secret to you.

The tutors (and personally, me) do not like very much when the visitors start instruct them.

Keep in mind that you come to the forum to get help from tutors - not to instruct them.

In that special case, when you want to request the solution in some special/specific form,
write your instructions VERY CAREFULLY.

Otherwise, it may happen (as in this post), that posting your instructions, you will demonstrate your incompetency . . .

Answer by greenestamps(13214)   (Show Source): You can put this solution on YOUR website!

The specific instructions are poorly stated and therefore worthy of ignoring.

The objective should be simply to help the student learn ways to solve the problem.

Here is a method that uses only logical reasoning, without formal algebra.

Since Hilda works twice as fast as Stan, when they work together Stan does 1/3 of the work and Hilda does 2/3.

So if they mow the lawn together in 35 minutes, Stan does 1/3 of the work. That means it would take him 3*35 = 105 minutes to mow it himself.
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