Can someone please explain in the simplest way how to solve this? Michelle rode her bicycle from her house to school at an average speed of 8 miles per hour. Later that daym she rode school back home along the same route at an average speed of 12 miles per hour. If the round trip took her 1 hour, how many miles is the round trip?

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Can someone please explain in the simplest way how to solve this? Michelle rode her bicycle from her house to school at an average speed of 8 miles per hour. Later that daym she rode school back home along the same route at an average speed of 12 miles per hour. If the round trip took her 1 hour, how many miles is the round trip?

Mathematics
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Hi!!
don't you hate word problems?
we can do it though for sure

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ok, thanks!
we are gong to use distance equals rate time time time, or time is distance divide by rate
we don't know what the distance is, so lets call it D
time going it \[\frac{D}{8}\]right?
yes..
and time returning is?
D/12
right so total time is \[\frac{D}{8}+\frac{D}{12}\] which your are told is 1
solve \[\frac{D}{8}+\frac{D}{12}=1\] for \(D\) and you are done
do you know how to do that?
oh btw they ask for the round trip, so once you find D the answer is actually 2D
Do we need to find a common denominator first?
you can to that and then add probably be easier to multiply both sides by the least common multiple of 8 and 12 which is 24 that will clear the annoying fractions
I did it the first way because it was easier for me, I got D = 4.8
i didn't do it, let me check
And then 2*4.8 = 9.6. Thank you so much for helping!
if you multiply by 24 you get \[3 d+2 d=24\\ 5D=24\\ D=4.8\] yeah you are righ t
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that was extremely helpful. thank you again. :)
you are quite welcome

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