Library / UKMT Intermediate Mathematical Challenge /39 of 267

UKMT Intermediate Mathematical Challenge, 2012

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

Alex Erlich and Paneth Farcas shared an opening rally of 2 hours and 12 minutes during their table tennis match at the 1936 World Games. Each player hit around 45 shots per minute. Which of the following is closest to the total number of shots played in the rally?

(A) $200$ (B) $2000$ (C) $8000$ (D) $12\,000$ (E) $20\,000$

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.