A watch which gains uniformly is 5 minutes slow

Asked by admin @ in Math viewed by 336 People

A watch which gains uniformly ,is 5 min,slow at 8 o'clock in the morning on sunday and it is 5 min 48 sec.fast at 8 p.m on following sunday. when was it correct?

Answered by admin @


Hi there !

____________________________

Solution :

On the first Sunday morning at 8 : 00 a.m. , the watch is 5 min slow, and next Sunday at 8 : 00 p.m. , it becomes 5 min 48 secs fast.

So, the watch gains

\mathsf{5 + 5 \frac{48}{60} \: min \: in \: a \: time \: of \: (7 \times 24) + 12} \\ \\ \mathsf{ \implies{180 \: hours.}}

Hence,

To show the correct time, it must have to gain 5 min .

\mathsf{ \frac{54}{5} \: min \rightarrow 180 \: hours.}

5 min --) are gained in ( 180 × 5 / 54 × 5)

=> 83 hours 20 min = 3 days 11 hours 20 min.

Watch is correct 3 days 11 hours 20 min. after 8 am of Sunday.

Hence,

The watch will be correct at 20 min past at 7 p.m. on Wednesday.


___________________

Thanks for the question !





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