how many more seconds will they show the same time again

Question

a watch loses 1.5 seconds every hour .another watch gains 1 second every hour.The watches show the same time now.After how many more seconds will they show the same time again?

Answer 1

Well!!!!

 

Watch A loses 1.5 sec/hr

Watch B gains 1 sec/hr

 

Thus, increase in Time difference between the watches in 1 hr = 2.5 sec

 

The watches' time are increasung at the rate of 2.5 sec/hr

They will show back the same time if they complete one revolution error

(i.e) when the difference is 1 hr ==> 3600sec

 

==> TIme for having 3600 sec difference = 3600/2.5 = 1440 hrs = 60 days!!

Thus, the clocks will show same time after 60 days!!!