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

A. 12 p.m. on Wednesday

B. 2 p.m. on Thursday

C. 3 p.m. on Thursday

D. 2 p.m. on Wednesday

View Answer

Correct choice: B

Explanation:

Time from 12 p.m. on Tuesday to 2 p.m. on the following Tuesday = 7 days 2 hours. = 170 hours. The watch gains = (2 + 4 x 4/5) min = 34/5 min. in 170 hrs. Now, 34/5 min are gained in 170 hrs. Then, 2 min are gained in (170 x 5/34 x 2) hrs. Watch is correct after 2 days 2 hrs after 12 p.m. on Tuesday, i.e., it will be correct at 2 p.m. on Thursday.

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