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Travel up and down riddle

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Two travellers spend from 12 o’clock to 6 o’clock walking along a level road, up a hill and back again. Their pace is 4 mph on the level, 3 mph uphill, and 6 mph downhill.

How far do they walk and at what time do they reach the top of the hill?

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SherlockHolmes Expert Asked on 1st April 2019 in Math Puzzles.
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    • 2 Answer(s)

    24 miles and before copying the puzzle from internet first solve it yourself it is not complete puzzle xd

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    Yodha Expert Answered on 1st April 2019.

    CugelTheWise

    You are right, the puzzle is not complete and that is why you cannot determine the time they reached the top of the hill.

    on 2nd April 2019.
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    The answer to when they reached the top of the hill can not be determined from the facts!! The only thing that I could find is that the distance to the top of the hill is 12 miles. So since the speed down is twice the speed up there are some options:
    1) if they walked 2.5 hours on the level road that leaves us 1 hour that can be divided to 40 minutes up and 20 minutes down so 2..5+40 min = 3:10
    2) if they walked 2 hours on the level road that leaves us 2 hours for up & down the hill that can be divided to 80min & 40min so 2 +1:20 = 3:20
    3) if the waked 1.5 hour on the level road that leaves us 3 hours for up & down the hill that can be divided to 2+1 hour so in that case 1:30+2=3:30
    4) in case of 1 hour the time will be 1+2:40=3:40

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    Moshe Expert Answered on 22nd October 2020.
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