No one has yet given me a reply.The solution is based on the following facts-
After 12 noon,the hands first merge a little after 01-05
Next a little after 02-10...Next a little after 03-15 etcetc.
In fact,they will be together again several times and for the 11th time they will be at 12 midnight.
Thus in 12 hours,11 intervals occur
Each interval will be {1 +(1/11)}hours or 1 hour and {5+(5/11)} minutes.
The times of merger are thus {5+(5/11)} minutes after 1 PM...{10+(10/11)}minutes after 2PM,{16+(4/11}minutes after 3PM..,{21+(9/11)}minutes after 4PM etc etc .
After 12 noon,the hands first merge a little after 01-05
Next a little after 02-10...Next a little after 03-15 etcetc.
In fact,they will be together again several times and for the 11th time they will be at 12 midnight.
Thus in 12 hours,11 intervals occur
Each interval will be {1 +(1/11)}hours or 1 hour and {5+(5/11)} minutes.
The times of merger are thus {5+(5/11)} minutes after 1 PM...{10+(10/11)}minutes after 2PM,{16+(4/11}minutes after 3PM..,{21+(9/11)}minutes after 4PM etc etc .
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