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28 October, 20:23

At a birthday party, the ratio of children to adults is 4:1. If the average time for the three-legged race for adults was 1 minute and 25 seconds, and the average time for the children was 3 minutes and 20 seconds, what is the maximum the average can be for all the guests at the birthday party?

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  1. 28 October, 23:37
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    Answer: The maximum the average can be for all the guests at the birthday party is 2 minutes 57 seconds.

    Step-by-step explanation:

    Since the ratio of adults to children is 4:1, then it follows that:

    4/5 of the people are children

    1/5 of the people are adults

    A weighed average of the times would give:

    1 minute 25 seconds = 85 seconds [for 1/5 of the people (the adults) ]

    3 minutes 20 seconds = 200 seconds [for 4/5 of the people (the children) ]

    (85 x 1/5) + (200 x 4/5) = 177 seconds

    Therefore, the maximum the average can be for all the guests at the birthday party is 2 mins 57 secs.
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