A watch which gains uniformly, is 5 min slow at 8 o’clock in the morning on Sunday and it is 5 min 48 sec. fast at 8 p.m on following Sunday. when was it correct?

A. 7 pm on Wednesday

B. 20 min past 7 pm on Wednesday

C. 15 min past 7 pm on Wednesday

D. 8 pm on Wednesday

E. None of these

20 min past 7 pm on Wednesday

Consider 1st Sunday at 8 am and 2nd Sunday at 8 pm

Time Passed= 7 days 12 hrs = 180 hrs

5 min 48 s = 54/5 min

5 min gain = $\frac{180 * 5}{54/5}$ = 250/3

= 83 hrs 20 mins

= 3 days 11 hrs 20 mins

Adding to Sunday 8 am = Wednesday, 7 pm 20 min