Logical Puzzles

49. A car travels the first half of a motorway journey at an average speed of 40 mph, and the second half of the journey at an average speed of 60 mph. What is the average speed for the entire journey?
Answer
48 mph.
Say the journey takes 120 miles.
The first half of the journey (60 miles) takes 60÷40 = 1.5 hours.
The second half takes 60/60 = 1.0 hour.
So, the journey of 120 miles takes 1.5 + 1.0 = 2.5 hours and therefore, the average speed is 120÷2.5 = 48 mph.
50. Which two words are opposite in meaning?
severity, caution, incite, calm, impulse, wonder, stand, dismiss
Answer
incite, calm.
51. Which five–letter word can be placed in front of each of these words to make new words?
– – – – – RUNNER
– – – – – AGE
– – – – – LINE
– – – – – RANK
– – – – – MAN
Answer
FRONT