My watch is 1 second fast each hour, and my friend's is 1.5 seconds slow each hour. Right now they show the same time. When will they show the same time again?
!!!!!!!!I NEED THIS BY TOMORROW!!!!!!!!
HELP
The difference between your watches increases 2.5 seconds per hour. The number of hours required for the difference to equal 12 hours (at which time the watches will agree) is 43,200 sec/(2.5 sec/hr) = 17,280 hr = 720 days or about 2 years.
If you are wondering where the number 43,200 came from, that is the number of seconds in 12 hours.
When you asked this question before, I thought you said they watches ran 1 sec fas and 1.5 sec slow per DAY. That is why I came up woth a difference answer.
Thanks, I realy appreciate that.
Wow,You are really smart!!
To find out when your watch and your friend's watch will show the same time again, you need to consider their rates: your watch gains 1 second per hour, while your friend's watch loses 1.5 seconds per hour.
Let's start by setting up an equation. Let's assume that x represents the number of hours it will take for the watches to show the same time again.
For your watch, the total gain in seconds after x hours can be represented as 1 second gained per hour times x hours, which is simply 1x.
For your friend's watch, the total loss in seconds after x hours can be represented as 1.5 seconds lost per hour times x hours, which is 1.5x.
Now, if their watches show the same time, that means the total gain on your watch equals the total loss on your friend's watch:
1x = 1.5x
To solve this equation, we can subtract 1x from both sides:
0.5x = 0
Divide both sides by 0.5:
x = 0 / 0.5
x = 0
Therefore, their watches will show the same time again after 0 hours.
This means they are currently showing the same time, and no time needs to pass for them to show the same time again.
So, the time on your watches will match again immediately.