Random Puzzles 

Workings

Hint
Light travels around 186,000 miles each second.

Answer
Miles that light can travel in 3 minutes.

There are 31,536,000 seconds in a typical year, and light can travel about 33,530,831 miles in 3 minutes.

Workings

Hint

Answer
The bottle cost 35 pence and the straw cost 25 pence.

Workings

Hint
How many minutes are between the times?

Answer
50 minutes.

Reasoning
If we call the number of unknown minutes T.

Between four o'clock and eight o'clock, there are 240 minutes.

There is some point between these two times, before which we have 3 lots of T, and after which we have one lot of T plus 40 minutes.

Therefore, in the 240 minutes, there are 4 lots of T plus 40 minutes.

   240 = 4 x T + 40.

Therefore, T = 50 minutes.

Workings

Hint
In the road race, where could Charlie have finished?

Answer
Cycling : Billie > Alex > Charlie > Drew

Road race : Drew > Charlie > Billie > Alex

Road Race
In the road race, where could Charlie have finished?

By (4), he wasn't last. By (5), he wasn't first.

By (2), if Charlie was third, then he would have won the cycling, but by (3) Alex beat Charlie in the cycling, so Charlie can't have won the cycling.

So Charlie must have finished in second place.

By (5), Drew was first.

By (1), Alex didn't win the cycling, so by (2) he didn't come third in the road race. Therefore, Alex came last.

Leaving Billie in third place.

Road race : Drew > Charlie > Billie > Alex

Cycling
By (2), Billie won.

By (4), Charlie wasn't last.

By (3), Alex beat Charlie. So Alex finished in second place, with Charlie in third place.

Leaving Drew in last place.

Cycling : Billie > Alex > Charlie > Drew