# Discussion of Question with ID = 059 under Clocks-and-Calendars

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### Question

Two watches, one of which gained at the rate of 1 min. and other lost at the rate of 1 min. daily, were set correctly at noon on the 1st January 1977. When did the watches indicate the same time?

A

Dec. 27, 1977 midnight

B

Dec. 26, 1977 noon

C

Dec. 25, 1977 noon

D

Dec, 27, 1977 noon

Soln.
Ans: d

The first watch gains on the second watch 1 + 1, 2 minutes in a day.
The watches will indicate the same time when the one has gained 12 hours on the other. As 2 minutes is gained in 1 day
∴ 12 hours is gained in days = 12 x 12 x 60 = 360 days
Counting 360 days from 1st Jan. 1977, we get Dec. 27, 1977.