There is a concert that starts in just 17 minutes and all of the band members must all cross a bridge to get there. The four members begin on the same side of the bridge and you must help them to get across to the other side.

Due the age of the bridge, a maximum of two people can cross at one time. To make matters worse, it is night-time and there is only one torch. The torch is always required when crossing the bridge and the torch must be walked back and forth, it cannot be thrown, etc. Each band member walks at a different speed and a pair must walk together at the rate of the slower man:

Alan takes 1 minute to cross
Bill takes 2 minutes to cross
Carl takes 5 minutes to cross
Dave takes 10 minutes to cross

For example, if Alan and Dave walk across first, it takes them 10 minutes to cross. If Alan then returns with the torch, a total of 11 minutes will have passed. There is no trick behind this, it is the simple movement of resources in the appropriate order.

Below are thirteen 5 lettered words, each of which has had two of its letters removed.

In total these 26 letters are A-Z.

The remaining letters in each word are in the correct order.

There are no words which are spelled differently based upon location (favour/favor, etc).

Can you determine the original words?

--UST
-UE-N
O-O-E
--AND
-A-ER
ID-O-
-UC-Y
E-I-T
HEA--
TOU--
-RIE-
-RY-T
H-M-N

My bath has two taps and a plug hole.

The cold tap on its own fills the bath in 12 minutes, the hot one in 8 minutes.

The plug hole can drain the bath in 24 minutes with the taps off.

How long will the bath take to fill if I leave both taps on with the plug left out?

What letter comes next in this sequence:

P O I U Y T ==?==