Vera's clock runs fast so that the clock's hands move ahead an extra 10 minutes every hour. If she sets the clock correctly at 12:00 noon on one day, what time will the clock show the next day at 12:00 noon?(1 day =24 hours)
Do I set up an equation for this, or use logic, or use my calculator? Please explain.
Thank you~
a little of both comes in handy. Before deciding on a plan, do a little thinking.
The clock gains 10 minutes every hour, so after h hours, it has gained 10h minutes.
so, after 24 hours, the clock will be 240 minutes ahead.
so, what time is 12:00 + 240 minutes?
To solve this problem, let's use logic to determine the time shown on Vera's clock the next day at 12:00 noon.
Since Vera's clock runs fast, it should show a time later than the actual time. We know that the clock shows an extra 10 minutes every hour. Since there are 24 hours in a day, the clock will show an extra 10 minutes x 24 hours = 240 minutes in total.
Therefore, the clock will be 240 minutes ahead of the actual time at 12:00 noon the next day.
To convert this to hours and minutes, we can divide 240 minutes by 60 (since there are 60 minutes in an hour) to get the number of hours.
240 minutes / 60 = 4 hours
This means that the clock will be 4 hours ahead at 12:00 noon the next day.
To determine the time, we add this extra 4 hours to the actual time.
12:00 noon + 4 hours = 4:00 PM.
So, the clock will show 4:00 PM the next day at 12:00 noon.
In this case, using logic is the most straightforward approach to determining the time. There is no need to set up an equation or use a calculator in this case.