A watch that gains 5 seconds In 3 minutes was set night at 7:00 am In the afternoon of the same day when the watch indicated a quarter past 4 0'clock, the true time is

Using the proportionality method for faulty clocks, the ratio of the watch's time to the actual time is 185 seconds for every 180 seconds. When the watch indicates 4:15 p.m., it has recorded 9 hours and 15 minutes of time, which equals 33300 seconds. Setting up the proportion 185 divided by 180 equals 33300 divided by the true elapsed seconds gives a true elapsed time of 32400 seconds. Dividing 32400 seconds by 3600 converts it back to 9 actual hours, meaning the true time is exactly 4:00 p.m.

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