Puzzle 1
Last week I travelled from London to Leeds, a distance I measured as 174 miles.
I started at 9.15am and completed the journey with an average speed of 40 miles per hour.
On the way back, in the evening, I travelled exactly the same route, starting at 5.15pm. The traffic was light, and I completed the journey with an average speed of 60 miles per hour.
What was the overall average speed for the round trip?
The answer is not 50 mph.
Puzzle Copyright © Kevin Stone
workings
hint
answer
print
www.brainbashers.com
/puzzle/ztah
share
Hint
Remember that Time = Distance ÷ Speed, and Speed = Distance ÷ Time.
Answer
48 miles per hour.
Reasoning
Using:
Time = Distance ÷ Speed
Speed = Distance ÷ Time
The outward journey took 174 miles ÷ 40 mph = 4.35 hours.
The return journey took 174 miles ÷ 60 mph = 2.9 hours.
So I travelled a total of 2 x 174 = 348 miles. I did this in a total of 4.35 + 2.9 = 7.25 hours.
My overall average speed was therefore 348 miles ÷ 7.25 hours = 48 miles per hour.
Puzzle 2
Can you complete these common 5-letter words?
-s-g-
--r-f
-zu--
e--x-
-p--c
--ln-
-w--m
---jo
q---a
-v-k-
i--h-
-b-y-
--dt-
Puzzle Copyright © Kevin Stone
workings
hint
answers
print
www.brainbashers.com
/puzzle/zciv
share
Hint
One of the words begins with the letter S.
Answers
-s-g- = usage
--r-f = serif
-zu-- = azure
e--x- = epoxy
-p--c = optic
--ln- = kilns
-w--m = swarm
---jo = banjo
q---a = quota
-v-k- = evoke
i--h- = itchy
-b-y- = obeys
--dt- = width
Puzzle 3
Without using any reference material can you find the hidden countries?
In each case, the letter indicates the first letter of the country in question, the number represents the number of letters in the country.
For example, E7 would be England.
B10 E5 F4 F7 J5 L13 N9 S11 T7 Z6
Puzzle Copyright © Kevin Stone
workings
hint
answer
print
www.brainbashers.com
/puzzle/zqfr
share
Hint
The first country is Bangladesh.
Answer
Bangladesh, Egypt, Fiji, Finland, Japan, Liechtenstein, Nicaragua, Switzerland, Tunisia, Zambia.
Puzzle 4
What number comes next in this sequence:
1 · 3 · 6 · 11 · 18 · ?
workings
hint
answer
print
www.brainbashers.com
/puzzle/zvqr
share
Hint
The sequence is related to prime numbers.
Answer
29.
Each term increases by the next prime number.
next >