Maths Olympiad Prep

Library / UKMT Pink Kangaroo /23 of 220

UKMT Pink Kangaroo, 2019

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

A model train takes exactly 1 minute and 11 seconds for one complete circuit of its track. How long does it take for six complete circuits?

(A) 66 minutes and 5656 seconds (B) 77 minutes and 66 seconds (C) 77 minutes and 1616 seconds (D) 77 minutes and 2626 seconds (E) 77 minutes and 3636 seconds

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.