Random Puzzles 

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
The first word ends in k.

Answer
Look before you leap.

Workings

Hint
Start by looking at the consonants and vowels (AEIOU).

Answer
65 tonnes.

Vowels (AEIOU) are worth 3 and consonants are worth 5, added together and then multiplied by the number of ingots.

So TIN has 1 vowel (worth 3) and 2 consonants (worth 10).

Added gives 13, then multiplied by 5 ingots = 65.

Workings

Hint
Try to rotate them around in your head, but watch out for mirror images.

Answer
C and E.