Question

A clock gains 5 seconds for every 3 minutes. If the clock started working at 07:00 A.M. in the morning, then what will be the time in the wrong clock at 04:00 P.M. on the same day?

• A. 03:45 P.M.
• B. 04:10 P.M.
• C. 04:15 P.M.
• D. 05:00 P.M.

Hint:

When working with clocks that gain or lose time, calculate the total time gained or lost over the period and adjust accordingly.

Answer 1

The Correct Option is C

The clock gains 5 seconds for every 3 minutes, which is a gain of 1 second every 36 seconds.
From 07:00 A.M.
to 04:00 P.M.
is 9 hours, or 540 minutes.
The number of seconds gained in this time is: \[ \frac{5}{3} \times 540 = 900 \text{ seconds} = 15 \text{ minutes.} \]
Thus, the wrong time shown by the clock at 04:00 P.M.
will be 15 minutes ahead, so the correct time is 04:15 P.M.

Thus, the correct answer is 04:15 P.M.