A clock was set right on Monday at 8:30 a.m. on Tuesday, the following day,the clock showed 8:45p.m.when the correct time was 8:30p.m. how many minutes baas the clock gaining in every 24 hours

8:30 p.m. on Tuesday is 36 hrs from 8:30 a.m. on Monday

the clock gained 15 min in 36 hr

15 / 36 = x / 24

To find out how many minutes the clock is gaining in every 24 hours, we need to determine the difference between the actual time and the time shown on the clock over a 24-hour period.

Given that the clock was set right on Monday at 8:30 a.m., and on the following day, Tuesday, at 8:45 p.m., the clock showed 8:30 p.m. when the correct time was 8:30 p.m.

This means the clock gained 15 minutes between 8:30 p.m. and 8:45 p.m.

To calculate the clock's gain in every 24 hours, let's consider the time from 8:30 p.m. to 8:45 p.m., which is 15 minutes.

If the clock gains 15 minutes in 24 hours, we can set up a proportion to find the clock's gain per hour:

15 minutes / 24 hours = x minutes / 1 hour

To solve for x, we can cross multiply:

15 * 1 = 24 * x
15 = 24x

Dividing both sides by 24:

15 / 24 = x
0.625 = x

Therefore, the clock is gaining approximately 0.625 minutes (or about 37.5 seconds) every hour.

To find out how many minutes the clock is gaining in every 24 hours, we need to calculate the time difference between the clock and the correct time.

On Monday at 8:30 a.m., the clock was set right.
On Tuesday, the clock showed 8:45 p.m. when the correct time was 8:30 p.m.

So, the clock gained 15 minutes in one day (24 hours).

To calculate the number of minutes the clock is gaining in every 24 hours, we can divide the gained minutes by the number of days:

15 minutes / 1 day = 15 minutes/day

Therefore, the clock is gaining 15 minutes in every 24 hours.