Question

A watch loses 2 minutes in every 24 hours while other watch gains 2 minutes in every 24 hours at particular instant two watches showed an identical time.which of the following statement is correct if 24-hour clock is followed ?​

Answer 1

Answer:

watch gains 2 minutes in every 24 hours at particular instant

Answer 2

The two watches show the identical time again on completion of 360 days

Solution:

Given that,

A watch loses 2 minutes in every 24 hours

Another watch gains 2 minutes in every 24 hours

Thus, every day the time difference between the two watches will keep on increasing by 4 minutes

The two watches will show the same identical time when this difference of 4 minutes increases to 24 hours

1 hour = 60 minutes

$24\ hour = 24 \times 60\ minutes = 1440\ minutes$

For the difference to increase by 4 minutes it takes 1 day

Now find the difference to increase by 1440 minutes

1 day = 4 minutes

"x" days = 1440 minutes

Solve by cross multiplying

$1440 \times 1 = 4x\\\\x = \frac{1440}{4}\\\\x = 360$

Thus the two watches show the identical time again on completion of 360 days

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