Maths Olympiad Prep

Library / UKMT Grey Kangaroo /128 of 242

UKMT Grey Kangaroo, 2016

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

Theo's watch is 1010 minutes slow, but he believes it is 55 minutes fast. Leo's watch is 55 minutes fast, but he believes it is 1010 minutes slow. At the same moment, each of them looks at his own watch. Theo thinks it is 12:0012{:}00. What time does Leo think it is?

(A) 11:3011{:}30 (B) 11:4511{:}45 (C) 12:0012{:}00 (D) 12:3012{:}30 (E) 12:4512{:}45

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.