Question

Last year’s match at Wimbledon between John Isner and Nicolas Mahut, which lasted 11 hours and 5 minutes, set a record for the longest match in tennis history. The fifth set of the match lasted 8 hours and 11 minutes. Approximately what fraction of the whole match was taken up by the fifth set?

Answer 1

Using proportions, it is found that approximately 74% of the whole match was taken up by the fifth set.

What is a proportion?

• A proportion is a fraction of total amount, and is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

• To build the fraction, we find the times in minutes.

• The fifth set took 8 hours and 11 minutes, that is, 8 x 60 + 11 = 491 minutes.

• In total, the match lasted 11 hours and 5 minutes, that is, 11 x 60 + 6 = 665 minutes.

Hence:

$p = \frac{491}{665} \approx 0.74$

Approximately 74% of the whole match was taken up by the fifth set.

You can learn more about proportions at https://brainly.com/question/24372153