SOLUTION: Two families from the same neighborhood plan a ski trip together. The first family makes the 455 mile trip at a speed 5 miles per hour faster than the second family. The second f

Question 1170442: Two families from the same neighborhood plan a ski trip together. The first family makes the 455 mile trip at a speed 5 miles per hour faster than the second family. The second family takes a half-hour longer to make the trip. What are the speeds of the two families?

Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
Two families from the same neighborhood plan a ski trip together. The first family makes the 455 mile trip
at a speed 5 miles per hour faster than the second family. The second family takes a half-hour longer to make the trip.
What are the speeds of the two families?
~~~~~~~~~~~~~~

Sorry, looking into your post, I can not believe/trust to my eyes,
and therefore, I would like to ask again:

                How many miles is/was the ski trip ?

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

Regarding the post by @josgarithmetic, do not consider it seriously,

since it may harm your common sense, your psychic and your brain.

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!

SPEEDS TIME DISTANCE FirstFam r+5 455/(r+5) 455 SecFam r 455/r 455 Difference 1/2

Accounting for given time difference,

algebra steps
.
.
.

Discriminant is so use of general solution for quadratic equation gives

-----------speed for the SECOND family.
---------speed for the FIRST family.
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