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anonymous
 one year ago
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?
anonymous
 one year ago
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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misty1212
 one year ago
Best ResponseYou've already chosen the best response.1don't you hate word problems?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1we can do it though for sure

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1we are gong to use distance equals rate time time time, or time is distance divide by rate

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1we don't know what the distance is, so lets call it D

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1time going it \[\frac{D}{8}\]right?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1and time returning is?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1right so total time is \[\frac{D}{8}+\frac{D}{12}\] which your are told is 1

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1solve \[\frac{D}{8}+\frac{D}{12}=1\] for \(D\) and you are done

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1do you know how to do that?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1oh btw they ask for the round trip, so once you find D the answer is actually 2D

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do we need to find a common denominator first?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1you 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

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I did it the first way because it was easier for me, I got D = 4.8

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1i didn't do it, let me check

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0And then 2*4.8 = 9.6. Thank you so much for helping!

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1if you multiply by 24 you get \[3 d+2 d=24\\ 5D=24\\ D=4.8\] yeah you are righ t

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1\[\color\magenta\heartsuit\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that was extremely helpful. thank you again. :)

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1you are quite welcome
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