Question

A clock is set at 12AM on Sunday and it lags 4Mins for every hour in the first weak he and leads 5 minutes for every 2 hours in the next 2weeks what is the time shown by the clock after three weakd

Answer 1

$\huge\sf\pink{Answer}$

☞ Time shown will be 2:30 am

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$\huge\sf\blue{Given}$

✭ A clock is set at 12 Am on Sunday

✭ Each hour it lags for a time of 4 minutes in week 1

✭ It leads 5 minutes for every 2 hours for the next 2 weeks

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$\huge\sf\gray{To \:Find}$

◈ The time that the clock would show after 3 weeks?

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$\huge\sf\purple{Steps}$

So here we shall first find the total time lagged, that is,in a day it has 24 hours and then I a week 7 days,so on this basis

➝ $\sf 1 \ day = 4\times 24$

➝ $\sf 1 \ day = 96 \ minutes$

So then in a week,

➝ $\sf 1 \ week = 96\times 7$

➝ $\sf 1 \ week = 672 \ minutes$

Then we were told that there was a lead of 5 min for every two hours so as a day has 24 hours it should have done this 12 times which means,

➳ $\sf 1 \ day = 5\times 12$

➳ $\sf 1 \ day = 60$

Then in 2 week,

➳ $\sf 7\times 2 \ days = 60 \times 14$

➳ $\sf 2 \ weeks = 840 \ min$

Then their difference will be,

➢ $\sf 840 - 672$

➢ $\sf 168 \ minutes \ lead$

So then the time shown after 3 weeks will be,

➠ $\sf Time \ Shown = 12 + 168$

➠ $\sf\orange{Time \ Shown = 2:30 \ am}$

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