SOLUTION: Please provide an easy-to-understand explanation. Thank you. My watch gains ten seconds an hour, and my clock loses ten seconds an hour. I put them both right at noon on June 1

Question 1133210: Please provide an easy-to-understand explanation.
Thank you.
My watch gains ten seconds an hour, and my clock loses ten seconds an hour. I put them both right at noon on June 1st. What next later date will they also tell the same time?

Answer by ikleyn(52864) (Show Source): You can put this solution on YOUR website!
.

After 1 hour the difference in readings will be 20 seconds; 

      2 hours  ---------------- "  -----------  40 seconds 


    and so on . . . . . . . .


The clock and the watch will show the same time when 20-seconds increments will fill the 12-hour period, 

i.e. after   = 12*180 = 2160 hours =  = 90 days.


ANSWER.  At noon of August, 29.

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