EXOEXOEXO
  • EXOEXOEXO
it took matt twice the time to drive from home to work as it took him to drive back home from work by the same route. if matt averaged 30 miles per hour(mph) on his drive to work, his average speed for the entire round trip was?
Mathematics
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EXOEXOEXO
  • EXOEXOEXO
it took matt twice the time to drive from home to work as it took him to drive back home from work by the same route. if matt averaged 30 miles per hour(mph) on his drive to work, his average speed for the entire round trip was?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
ok so if it was 2 times as fast what would his drive backs mph be?
EXOEXOEXO
  • EXOEXOEXO
60?
anonymous
  • anonymous
yea

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anonymous
  • anonymous
so since you have both of them how do you find the average
EXOEXOEXO
  • EXOEXOEXO
(30+60)/2?
anonymous
  • anonymous
yea so 45 would be it :)
EXOEXOEXO
  • EXOEXOEXO
but its not an answer choice
anonymous
  • anonymous
what are the choices???
anonymous
  • anonymous
lol its not twice as fast its twice as slow
EXOEXOEXO
  • EXOEXOEXO
30 25 40 15
anonymous
  • anonymous
so (15+30)/2
anonymous
  • anonymous
wait a minute
anonymous
  • anonymous
@dan815 am i right in saying (15+30)/2 sorry im tired
anonymous
  • anonymous
lol wait i think im just being dumb
anonymous
  • anonymous
no wait im not it would be 22.5 mph are you sure thats the whole question
EXOEXOEXO
  • EXOEXOEXO
I think it is a 30+2(15)/2
anonymous
  • anonymous
no then that would just be 30
EXOEXOEXO
  • EXOEXOEXO
30 mph is the average on Matt's drive to work while 15 mph is the average of Matt's drive to home from work
anonymous
  • anonymous
because he took twice as long using the same rounte meaning he was twice as slow (15 mph) and the other was 30 so the avarage of that is 22.5mph
anonymous
  • anonymous
yea
anonymous
  • anonymous
so basicly in the context of the problem x= matts time from work so (x+(x/2))/2= avg
anonymous
  • anonymous
and x=30 so
anonymous
  • anonymous
yea
anonymous
  • anonymous
cool @EXOEXOEXO ???
anonymous
  • anonymous
although its not a choice it is the right answer for what you gave me
EXOEXOEXO
  • EXOEXOEXO
lol
anonymous
  • anonymous
haha yea unless you made a typing error??
EXOEXOEXO
  • EXOEXOEXO
I don't think I made one
whpalmer4
  • whpalmer4
How long does it take him to drive to work? How long does it take him to drive home? Add them together to get the round trip time. Average speed for the round trip is round trip distance divided by round trip time.
anonymous
  • anonymous
yea but thats not a choice :(
whpalmer4
  • whpalmer4
That's all the information you need to calculate the answer... Let the distance to work be \(x\). Time to drive to work is \(x/30\). Time to drive home is \((1/2)*(x/30)\) Total distance driven is \(2x\) Average speed for trip is total distance driven divided by total time.
anonymous
  • anonymous
yea i know that and you would get 22.5 but thats not an answer choice for him
whpalmer4
  • whpalmer4
No, 22.5 is not the result of that calculation, correctly done.
whpalmer4
  • whpalmer4
Time to drive to work is \[\frac{x}{30}\] Time to drive home is\[\frac{1}{2}*\frac{x}{30} = \frac{x}{60}\] Total time driving is \[\frac{x}{30}+\frac{x}{60} = \frac{3x}{60} = \frac{x}{20}\] average speed is \[\frac{2x}{\frac{x}{20}}=2x*\frac{20}{x} = \]
whpalmer4
  • whpalmer4
Or, pick a distance, any distance, and work out the problem. Let's say it is 60 miles to work, to make the arithmetic easy. 60 miles at 30 miles per hour = 2 hours to drive to work Driving home takes 1/2 the time, so that's 1 hour to drive home. Total distance driven is 60+60 = 120 miles. Total time driving is 2+1 hours = 3 hours Average speed =

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