Question

A twelve-hour clock is set at the correct time on the afternoon of May 17th. If the clock loses 6 minutes per day, what is the next calendar day on which it will show th

Answer 1

14 september

Explanation:

Given,

The clock is of twelve hour,

That is, after 12 hours, we will get the same time in the clock,

Also, it loses 6 minutes per day,

So, change in time,

After one day = 6 minutes,

After 2 days = 2 × 6 = 12 minutes,

After 3 days = 3 × 6 = 18 minutes,

...................................

...., so on

Let change after n days = 12 hours = 12 × 60 = 720 minutes,

⇒ n × 6 = 720

⇒ n = 120 days,

Thus, after 120 days the time will be repeat in the clock,

If we suppose a month having 30 days,

So, the number of months in 120 days =
`(120)/(30)` = 4,

⇒ After 4 months the time will be repeat,

Also, there are 1 odd day in each months of may, july and august,

Total odd days = 1 + 1 + 1 = 3

That is, after 3 days before 4 months the time in the clock will be repeat.

Hence, on 14th september clock would be shows the same time.

Answer 2

If the clock loses 0.1 hours per day, it will take 120 days for it to lose 12 hours. 120 days after May 17 is September 14.