Reiny! Reiny! Reiny!

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1. Oanh walked from her home to the grocery store at 3 mi/h and jogged home at 6 mi/h. Her total round trip was 15 minutes (1/4h). How far from Oanh's home is the grocery store? (use an equation to solve this)

Help, I am totally clueless on this.

  • Reiny! Reiny! Reiny! -

    let her time walking be t hours
    then the distance she walked = 3t miles

    let her time jogging back home be 1/4 - t hours
    so the distance she jogged = 6(1/4 - t)

    but aren't those two distances the same ?

    so...
    3t = 6(1/4 - t)

    I am sure you can solve this for t, then sub that value back into 3t to get the distance.

  • Reiny! Reiny! Reiny! -

    Wait, I don't get it.

    I solved
    3t = 6 (1/4 - t)
    and got 11.66666666666....

    and then what do I do?
    ..or did I do that wrong?

  • Reiny! Reiny! Reiny! -

    3t = 6 (1/4 - t)
    3t = 3/2 - 6t
    9t = 3/2
    t = 3/18 = 1/6

    then 3t, which was the distance
    = 3(1/6) = 1/2

    so the distance is 1/2 mile

    check:
    time walking = 1/2 ÷ 3 = 1/6 hour
    time jogging = 1/2 ÷ 6 = 1/12 hour

    1/6 + 1/12 = 2/12 + 1/12 = 3/12 = 1/4 hour

  • Reiny! Reiny! Reiny! -

    Oh, i see.

    thank you.

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