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

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

Therefore, The watch gains \(\left(2+4\frac45\right)\) min. or 34/5 min. in 170 hrs.

Now, 34/5 min. are gained in 170 hrs.

Therefore, 2 min are gained in \(\left(170\times\frac5{34}\times2\right)\) 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.