SOLUTION: Ben drove to Kate�s house. It took 30 mins. On the trip back to her own house, Ben drove an average of 15 mph slower than the trip to Kate�s house and it took an extra 15 mins. How

Question 1101314: Ben drove to Kate�s house. It took 30 mins. On the trip back to her own house, Ben drove an average of 15 mph slower than the trip to Kate�s house and it took an extra 15 mins. How far is it from Ben�s house to Kate�s house?
Answer by ikleyn(52797) (Show Source): You can put this solution on YOUR website!
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Ben drove to Kate�s house. It took 30 mins. On the trip back to her own house, Ben drove an average of 15 mph slower
than the trip to Kate�s house and it took an extra 15 mins. How far is it from Ben�s house to Kate�s house?
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Is Ben "he" or "she" ?

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Comment from student: Sorry, Ben is a he.
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My response: OK.

The way to Katy took 30 minutes =  of an hour.

The way back took 45 minutes =  of an hour.


The "distance equation", saying that both ways distance is the same is

 = ,   where "v" is the average speed on the way "to there".


Multiply both sides by 4. You will get

2v = 3*(v-15)  ====>

2v = 3v - 45  ====>  v = 45.


Then one way distance is  =  = 22.5 miles.


Check.  The way "to there"  =  of an hour.

        The way back   =  =  of an hour.  ! Correct !


Answer.  One way distance is 22.5 miles.

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