Brain Teasers and Puzzles 

Workings

Hint
The country ends with the letter D.

Answer
England.

Alex's aches and pains felt worse because of swollen glands that had flared up during the night, perhaps a tonic would help?

Workings

Hint
There are 3 P's.

Answer
960.

Reasoning
P P P U U Z Z Z Z Z L L L L E S S gives 3 x P, 2 x U, 5 x Z, 4 x Z (only 4 as we've already used one), 4 x L, 1 x E, 2 x S.

3 x 2 x 5 x 4 x 4 x 1 x 2 = 960.

Workings

Hint
It doesn't matter what the distance is, so try a random distance.

Answer
This cannot be done.

It does not matter how far the trip is, let's assume that it is random distance, say 60 miles, and remembering that Time = Distance ÷ Speed.

The morning trip took 60 miles ÷ 30 mph = 2 hours.

To average the required 60 mph, we would have to travel the total distance (of 120 miles) in 2 hours. However, we've already used all of the two hours for the morning trip!

Choosing any random distance would also show that it can't be done.

Workings

Hint
Try working backwards.

Answer
15.

One quarter of 360 is 90.

One third of 90 is 30.

One half of 30 is 15.