A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 4

CuriousTab

Home Aptitude

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?
Options
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

2 p.m. on Wednesday

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 $(2 + 4 \frac{4}{5})$ min. or $\frac{34}{5}$ min.in 170 hrs.

Now, $\frac{34}{5}$ min.are gained in 170 hrs.

2 min.are gained in $(170 * \frac{5}{34} * 2)$ hrs=50 hrs

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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