快猫短视频

#232 Opposite number

Set by Zoe Mensch

The parish council election for the Wraparound Close ward is fiercely contested this year. The road gets its name from the fact that the consecutive house numbers 鈥渨rap around鈥� the close 鈥� from 1 at the start of one side, up to the single house at the dead end of the close, and back along the other side so that the highest numbered house (which is less than 100) is opposite number 1.

Candidate Leah Valone knows she can count on the votes of everyone on her side of the street. Her opponent, Stan Doffish, (who lives directly opposite Leah, with a house number that is exactly 45 per cent larger) knows that everyone on his side will vote for him. The only undecided voter is Belle Wether, who lives in the single house at the dead end.

What is Belle鈥檚 house number?

Solution next week

#231 Bark run

Solution

If Zippy the dog runs three sections for every one the owner walks, then when they meet on the return leg, Zippy has run one-and-a-half lengths of the field, while the owner has walked just half a length 鈥� in other words, they meet halfway across the field.

Since the field is 200 metres long, they must therefore meet after the owner has walked 100m, so the owner walks 200m in total.