document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192359>Question 1192359</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are two clocks in my house. One clock gains one minute every minute and the other loses two minutes every hour. Yesterday I set them both to the correct time but when I looked at them today, I saw that the time shown on one was 11:00 and shown on the other was 12:00. What time was it when I set the two clocks? </SPAN>\n" );
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document.write( "I think it can safely be assumed that the statement of the problem is supposed to say the clock that runs fast gains one minute every hour -- not one minute every minute.<br><BR>\n" );
document.write( "The times shown on the two clocks diverge at a rate of 1+2=3 minutes every hour.<br><BR>\n" );
document.write( "For them to show times that differ by 1 hour (60 minutes), they must have been running for 60/3=20 hours after they were set.<br><BR>\n" );
document.write( "In 20 hours, the clock that gains 1 minute each hour will show a time change of 20 hours and 20 minutes.  It now shows a time of 12:00; 20 hours and 20 minutes before 12:00 is 20 minutes before 4:00, or 3:40.<br><BR>\n" );
document.write( "OR....<br><BR>\n" );
document.write( "In 20 hours, the clock that loses 2 minutes each hour will show a time change of 40 minutes less than 20 hours, or 19 hours and 20 minutes.  It now shows a time of 11:00; 19 hours and 20 minutes before 11:00 is 20 minutes before 4:00, or 3:40.<br><BR>\n" );
document.write( "ANSWER: The two clocks were set at 3:40.<br><BR>\n" );
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