This week’s puzzle is split into two parts: the first is an old puzzle that many might not have seen, and is worth a look in its own right; however the second part is new, and is slightly trickier.
The problem concerns a bath. With the plug in and the cold tap turned on full the bath will fill in three minutes. The hot tap is slightly slower, and with the plug in and the tap on full the bath will fill in four minutes. With the taps off a full bath will empty in twelve minutes when the plug is removed.
So how long will it take to fill the bath with both taps on full and the plug removed?
Assuming that you have solved this part, the trickier subsidiary is . . .
If the bath starts half full how long will it take to fill completely if both taps are turned on full and the plug is removed?
Answer at 9.00 on Monday