Question

A person goes out of his house between 6 pm and 7 pm and returns back the same evening between 7 and 8. When he gets back home he realizes that the hands of the clock have exchanged their positions. For how long did he go out ?

Answer 1

1 hour

Answer 2

i suppose

Answer 3

No supposes I want reasons

Answer 4

Yup I am sure. wait lets go to @campbell_st

Answer 5

well for the hour when leaving has to be between 6 and 7... and so the minute hand needs to be between 7 and 8.

when transposed the hour hand will be between 7 and 8 and the minute hand between 6 and 7.

and in the leaving time the hands will be past the 1/2 way for the 30 degree arc formed. i.e. 6 to 7.

for example leaves at 6:38 and arrives home at 7 33

so he is out for 55 mins...

best I can do at short notice.