I sit at work and work out my morning brain teaser to keep my analytical skills sharp and my mind right. But...Mikey's latest problem has got me in a bind. I gave him my answer and it was....wrong? How could that be? Where did I go wrong?
Try it...
Two marathon runners raced each other to see who was faster. Lucy ran three miles an hour up a hill and six miles an hour downhill. Olivia ran four miles an hour up and down the hill. The hill was 3 miles each way. Who won?
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3 comments:
olivia. because she ran 4 miles an hour in total..up and down.
i think. maybe it's too late. shoot...why did i have to read this? i have a client in five hours.
haha...ok well...that was my first answer, but i found out it was wrong.
first, i set up an inequality and isolated the time, which is the variable.
hence..
O = Olivia, L = Lisa and then solve according to the equation.
3L/H + 6L/H = 6 miles (total up and down)
so...
L = 3/2 mph = 90 min.
Now solve for Olivia using the same formula, just note she was at a constant 4 mi/hour...
Thus...
4O/H = 6 miles
O = 6/4 mph = 90 min.
They came in at the same time. It was a tie!
Yeah...took me a while to figure it out. I need to get on my game if I want to join Mensa, which is where this question came from.
fuck man.
i had a feeling there was more to it than it seemed.
ugh.
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