Math

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A student sarts for her school at the speed of 12 km / hr & reaches school 4 mins earlier than the asembily.next day she cycles at 10 km / hr & is late by 6 mins & missed assembly . Find distance b / w herschool & home

  • Math -

    d/12 + 1/15 = d/10 - 1/10 ... 60 is LCD

    5d + 4 = 6d - 6

  • Math -

    12 km/hr * 1000 m/km * 1 hr/60 min = 200 meters/min

    10 km/hr = 166.7 meters/min

    distance = d

    d = 200 (t-4) = 200 t - 800
    d = 166.7(t+6) = 166.7 t + 1000

    33.3 t = 1800
    t = 54.1 minutes

    d = 200(54.1) - 800 = 10,010 meters

    = 10 km

    check
    200(54-4) = 10,000
    167(54+6) = 10,000

  • Math -

    her time difference is 10 minutes, or 1/6 hour

    since distance = speed * time, and is the same both days, if she took t hours the first day, we have

    12t = 10(t + 1/6)
    t = 5/6 hr, or 50 minutes

    so, the distance is
    12km/hr * 5/6 hr = 10km

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