Puzzle Set 005 Answers



1. This is a simple mathematical puzzle. Let the first brother be a.
a = b + 2
b = c + 2
c = d + 6
(a + b + c + d)/4 = 74
a + b + c + d = 296
2b + 2 + c + d = 296
3c + 6 + d = 296
4d + 24 = 296
d = 68
c = 74
b = 76
a = 78

2. Let each son be x and each of daughters be y.
So for an x, x = y and that shows that there is one more x than y.
And for each y, x = 2y. This means x is even. This means that y is atleast 2.
Try y = 3 and x = 4 and the equation satisfies.

3. The train will actually have to travel 2 miles to pass completely through the tunnel so it will take 2 minutes.

4. Did you get tricked? The answer is 18th day. Since on 19th day its full, on 18th its half full.

5. This is slightly complicated but a diagram will help.

#----------------------------
#
#----------------------------
#A   B                   C
#
#----------------------------


The distance between A and C is 6 miles. To do 6 miles the guy needs 30 minutes (6 miles/12 miles/hour). The man travels at 12 m/h so he does 1 mile every 5 minutes. Now he is delayed by 25 mins so he is delayed by 5 miles. So on a normal day the amount of time the guy does 1 mile in, the train does 6 miles. So the speed of train is 6 * 12 = 72 miles/hour


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