All Puzzles

Two travellers spend from 12 o’clock to 6 o’clock walking along a level road, up a hill and back again. Their pace is 4 mph on the level, 3 mph uphill, and 6 mph downhill.

How far do they walk and at what time do they reach the top of the hill?

Use the digits below once each only to compose two fractions which when added together equal 1.
0,1,2,3,4,5,6,7,8,9

I have ten or more sons. I have less than ten sons. I have at least one son. If only one of these statements is true, how many sons do I have ?

A hunter met two shepherds, one of whom had three loaves and the other, five loaves. All the loaves were the same size. The three men agreed to share the eight loaves equally between them. After they had eaten, the hunter gave the shepherds eight bronze coins as payment for his meal. How should the two shepherds fairly divide this money?

Outflow plug is opened and to be fill up the bathtub with both taps full on. The hot tap takes 6 minutes to fill the bathtub. The cold tap takes 2 minutes and the water empties through the plug hole in 4 minutes.

In how many minutes will the bath be filled ?

Express 100 in three ways with five 5s. You can use brackets, parentheses and these signs +,-,X,/.
Example- 111-11=100 (Here, five 1s have been used to express 100)