Question

A faulty wall clock is known to gain 15 minutes every 24 hours. It is synchronized to the correct time at 9 am on 11th july. What will be the correct time to the nearest minute when the clock shows 2 pm on 15th july of the same year?12:45 pm12:58 pm1:00 pm2:00 pm

Answer 1

Answer: 1: 00 PM

Step-by-step explanation:

Given : A faulty wall clock is known to gain 15 minutes every 24 hours. It is synchronized to the correct time at 9 am on 11th July.

Now, from 9 am on 11th July to 9 am on 15th July, the clock will gain 4 times 5 minutes .  [Since 15-11=4]

Then the time in minutes that the clock has moved = $4\times15=60\text{ minutes}=1 \text{hour}$

Therefore, if the clock shows 2 pm on 15th July of the same year, then the correct time to the nearest minute = $2-1 = 1\ pm$

Answer 2

Answer:

12:58

Step-by-step explanation:

From July 11 to July 15 the hours past are 101.

For every 24 hours clock time is 24 Hours 15 minutes (24 1/4 )

                       Correct                                      Wrong

                      24 Hours                          24 1/4 Hours ( 97/4)

                  ? (To be known)                           101 Hours

Cross - Multiplication should do the work

= 24* 101 / (97/4)

= 24 * 101 * 4 / 97

= 99.958 Hours = 4 Days 3 Hours 57 Minutes 52 Seconds.

Correct time is 12 H : 57 M : 52 S

Apparently Unavailable. 12:58 will be the correct Option.