A clock is set to show the correct time at 8 am, the clock gains 10 minutes in a day. What will be the approximate time, when the watch indicated 4p.M. The next day?
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Answer:
3 hr 46 min 45 sec PM
Step-by-step explanation:
Clock gain 10 mins in a day
1 day = 24 hrs = 1440 min
10 min gained in 1440 min
so clock display 1440 + 10 = 1450 min in actual time of 1440 min
Time Displayed from 8 Am to 4 PM next day = 24 + 8 = 32 hrs
32 hrs = 32 × 60 = 1920 mins
when clock display 1450 mins then actual time = 1440 min
when clock display 1 min then actual time = 1440/1450 min
when clock display 1920 min then actual time = (1440/1450)*1920 min
= 1906.76 min
Time gained by clock = 1920 - 1906.76 = 13.24 mins = 13 min 15 sec approx
So actual time would be 4 PM - (13 min 15 sec)
= 3 hr 46 min 45 sec PM
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