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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?

Question:
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

Answer: Option B

Explanation:

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

The watch gains 2 + 4 4 min. or 34 min. in 170 hrs.
5 5
Now, 34 min. are gained in 170 hrs.
5
2 min. are gained in 170 x 5 x 2 hrs = 50 hrs.
34

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.