Simple math question for dum dums

by JH 103 Replies latest jw friends

  • JH
    JH

    If you travel a distance of 100 miles

    and the first half of the trip you go at 100 MPH

    and the second half of the trip you go at 50 MPH

    What is your average speed for the trip?

  • larc
    larc

    66 2/3 mph

  • Mary
    Mary

    75 miles per hour?

  • Stan Conroy
    Stan Conroy

    66.666666 Mph

  • JH
    JH

    That's correct Larc

    The first time I looked at that question, it looked so simple, so I said the average speed is 75 MPH.

    The first half of the trip is 50 miles and going at 100 mph takes half an hour

    The second half of the trip is 50 miles and going at 50 mph takes one hour.

    So the total trip takes 1.5 hours

    100 miles divided by 1.5 hours = 66.6 MPH

  • Vivamus
    Vivamus

    How fast is one MPH? I calculate in Kilometers, can't do it otherwise.

  • eyeslice
    eyeslice

    75 miles per hour

    The total journey of 100 miles takes 1.1/3 hours

    Half that time (i.e. 2 3rds of an hour) is spent travelling at 100 mph - distance = 66.66 miles

    Half that time (i.e. 2 3rds of an hour) is spent travelling at 50 mph - distance = 33.33 miles

    Total distance travelled = 75 miles divide by time in hours of 1.1/3 = 75 mph

  • larc
    larc

    eyeslice, as JH pointed out, the trip took 1.5 hours.

  • eyeslice
    eyeslice

    Easy to be caught out here by the wording of the question.

    The answers 66.66 mph and 75 mph could both be correct.

    The difference is on the definition of the first half. I took it to be time, i.e. calculate the the total journey time. Or, it could be distance.

    lesson - always clarify the question.

  • eyeslice
    eyeslice

    larc,

    As in most things in life things are never black and white.

    Your journey took you 1.1/2 hours, mine took only 1.1/3 but we both travelled half at 100mph and a half at 50mph.

    Problem we have is defining what the half is!

    Given that we probably have both even greater arguements over religious beliefs that we once held with those who still cling to them, this is an object lesson in never being too dogmatic. We are both right in our way!!!!

    regards

    eyeslice

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