A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct?

A    2 p.m. on Tuesday

B    2 p.m. on Wednesday

C    3 p.m. on Thursday

D    1 p.m. on Friday

Solution

Correct Answer: Option B

 

Time from 12 p.m. on Monday to 2 p.m. on the following Monday = 7 days 2 hours = 170 hours.

So, The watch gains (2+4(4/5)) min. or 34/5 min. in 170 hrs.

Now, 34/5 min. are gained in (170×(5/34) ×2) hrs = 50 hrs.

So, 2 min. are gained in (170×(5/34) ×2) hrs. = 50 hrs.

Therefore, Watch is correct 2 days 2 hrs. after 12 p.m. on Monday i.e., it will be correct at 2 p.m. on Wednesday.

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