A slow clock loses 25 minutes a day. At noon on the first of October, it is set to show the correct time. When will this clock next show the correct time?
Vicky.
Could I get some help pls.
Hello VickyI'll assume that it's a 12-hour clock - so it shows the 'correct' time if, for example, it's actually 8 pm but the clock 'thinks' it's 8 am.
In one day ( minutes) it loses minutes. So it is running at of the correct speed.
So minutes after noon on the first of October, the clock 'thinks' that minutes have elapsed. The clock will first show the correct time, then, when the difference between these two numbers of minutes , because the clock will then be exactly hours slow. (If it's a hour clock, you'll have to make this hours, or minutes.) So:
We now need to find the date and time, minutes after noon on 1st October.
minutes days
and 0.8 days = 19.2 hours = 19 hours 12 minutes
So it's 19 hours 12 minutes after noon on 29th October, or 7:12 am on 30th October.
Grandad
PS Here's a much more obvious way of doing the calculation.
It takes one day for the clock to lose 25 minutes. So in days it loses 720 minutes. Sorry I made it seem a lot harder than it really was!