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#195 Shuttle space

Set by Brian Hobbs

鈥淕o on without me. Just go!鈥� exclaimed Jeff.

Bart shook his head dramatically. 鈥淲e never leave a man behind.鈥�

In reality, though, Bart鈥檚 car only held three passengers, so the five friends had no clear way for all of them to make it to the pizzeria together. Hunger was closing in fast, so they thought up the following solution: Jeff would start walking as Bart drove his other three friends towards the pizzeria. Bart would drop them off somewhere along the route, go back and pick up Jeff, then drive to the pizzeria, while his other three friends walked the rest of the way.

They wanted to time it just right so that all five friends arrived at the pizzeria together. As it happens, the car drove seven times faster than Bart鈥檚 friends walked. How far down the 5-kilometre route to the pizzeria did Bart need to drop off his first group of passengers?

Solution next week

#194 World Cup table

Solution

C lost two matches and only conceded two goals, so must have lost both games 1-0, which must have been against A and B. So C must have beaten D 2-0. D鈥檚 other defeat can鈥檛 have been 3-2 (no team scored that many) or 1-0 (as that means they also had a 2-2 draw), so must have been 2-1, and so their draw (with B) was 1-1. This means B drew 0-0 with A, who beat D 2-1.

The four countries were France, Denmark, Peru and Australia:

France-Australia 2-1

France-Peru 1-0

France-Denmark 0-0

Denmark-Peru 1-0

Denmark-Australia 1-1

Peru-Australia 2-0

France then won the World Cup.