A clock is such that it loses 4 minutes each day. The clock is set right on February 25, 2008 at 2 p.m. How many minutes should be added to get the right time when the clock shows 9 a.m. on 3^rd March, 2008?

The faulty clock runs for a true duration of 6 days and 19 hours, which equals 163 hours, to reach the displayed time of 9 a.m. on March 3rd. Since the clock loses 4 minutes per day (1 minute every 360 true minutes), the total loss equals 163 divided by 360, which is added to 163 to find the elapsed true time of 163 times 361 divided by 360 hours. Converting this total true elapsed time into minutes yields 9780/359 minutes past 2 p.m. on February 25th, so no further addition is needed beyond this calculated time. However, evaluating the rate of loss per displayed minute yields 9780/359 minutes to be added.

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