Calculate the time


Recently, while I was in a holiday resort in Peru I watched a very interesting spectacle. Two gentlemen by the name of Sr. Guittierez and Sr. Ibanez decided to have a Llama race over the mile course on the beach sands. They requested me and some of my other friends whom I had met at the resort to act as the judges. We stationed ourselves at different points on the course, which was marked off in quarter miles.
But, the two Llamas, being good friends decided not to part company, and ran together the whole way. How-ever, we the judges, noted with interest the following results:
The Llamas ran the first three quarters in six and three quarters minutes. They took the same time to run the first half mile as the second half. And they ran the third quarter in exactly the same time as the last quarter.
From these results I became very much interested in finding out just how long it took those two Llamas to run the whole mile.
Can you find out the answer?

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    The entire mile was run in nine minutes. Though fr.>m the facts given we cannot determine the time taken over the first and second quarter-miles separately, we know, however, that together they took four and a half minutes. And the last two quarters were run in two and a quarter minutes each.

    John123 Expert Answered on 26th July 2015.
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