Question

A watch gains time uniformly. It is 2 minutes slow at noon on Sunday, and is 4 minutes 48 seconds fast at 2 pm on the following Sunday. When was it correct? 

A. 1:00 pm on Monday 

B. 2:00 pm on Tuesday 

C. 3:15 pm on Thursday 

D. 3:15 pm on Wednesday

Answer 1

Correct option: B. 2:00 pm on Tuesday

Explanation: 

From Sunday noon to the following Sunday at 2 pm there are 7 days 2 hours or 170 hours. The watch gains 2 + 4 4/5 = 34/5 minutes in 170 hrs. Therefore, the watch gains 2 minutes in 2 x 5/34 x 170 = 50 hours. Now, 50 hours means 2 days and 2 hours. 2 days and 2 hours from Sunday noon would be 2 pm on Tuesday.