a night Watchman must check a certain stores are every 45 minutes if he first checks the area as he begins a 9-hour of Duty how many times will he have checked this storage area.
I got 12 the the answer say its 13 times he will check
there's a check at the start and at the end.
There are 12 checks after the start of the shift. But you need to count the check at time zero as well.
To calculate the number of times the night watchman will have checked the storage area, we need to consider the duration of his duty and the frequency at which he checks the area.
First, let's convert the 9-hour duty into minutes: 9 hours * 60 minutes = 540 minutes.
Next, we divide the total duration by the time interval for each check: 540 minutes ÷ 45 minutes = 12.
Therefore, the night watchman will check the storage area 12 times during his 9-hour duty, not 13 times as the answer states. Your calculation of 12 is correct.
To find the number of times the night watchman will check the storage area, we can set up an equation:
Number of checks = Total duty hours ÷ Time between checks
In this case, the total duty hours are given as 9 hours and the time between checks is 45 minutes. However, we need to make sure the units of time are the same. Let's convert the duty hours into minutes:
9 hours × 60 minutes = 540 minutes
Now we can substitute the values into the equation:
Number of checks = 540 minutes ÷ 45 minutes
Number of checks = 12
According to the calculation, the watchman would check the storage area 12 times. If the answer says 13 times, there might be additional information or factors provided that were not mentioned in the original question.