Question

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?

Answer 1

Hi!!

Answer 2

don't you hate word problems?

Answer 3

we can do it though for sure

Answer 4

ok, thanks!

Answer 5

we are gong to use distance equals rate time time time, or time is distance divide by rate

Answer 6

we don't know what the distance is, so lets call it D

Answer 7

time going it
\[\frac{D}{8}\]right?

Answer 8

yes..

Answer 9

and time returning is?

Answer 10

D/12

Answer 11

right
so total time is
\[\frac{D}{8}+\frac{D}{12}\] which your are told is 1

Answer 12

solve
\[\frac{D}{8}+\frac{D}{12}=1\] for \(D\) and you are done

Answer 13

do you know how to do that?

Answer 14

oh btw they ask for the round trip, so once you find D the answer is actually 2D

Answer 15

Do we need to find a common denominator first?

Answer 16

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

Answer 17

I did it the first way because it was easier for me, I got D = 4.8

Answer 18

i didn't do it, let me check

Answer 19

And then 2*4.8 = 9.6.
Thank you so much for helping!

Answer 20

if you multiply by 24 you get
\[3
d+2
d=24\\
5D=24\\
D=4.8\] yeah you are righ t

Answer 21

\[\color\magenta\heartsuit\]

Answer 22

that was extremely helpful. thank you again. :)

Answer 23

you are quite welcome