Please help my guys this was given to me by my math teacher as my homework and must be submitted tomorrow.
Here's the problem:
The striking mechanism of blind Mr. Smith's clock went wrong. It would strike only up to eleven, and then always returned to one, so that you could never tell what hour it was when it struck. Yet he got used to it and always knew what time it was when he happened to hear it. One Monday morning when I was visiting him, it struck ten. He said it was ten o' clock all right and challenged me to visit him again on the day when I could be sure of finding strike the right hour. When did I go again?
Please provide solution (algebraically) if possible. Thank you in advance!
Here's the problem:
The striking mechanism of blind Mr. Smith's clock went wrong. It would strike only up to eleven, and then always returned to one, so that you could never tell what hour it was when it struck. Yet he got used to it and always knew what time it was when he happened to hear it. One Monday morning when I was visiting him, it struck ten. He said it was ten o' clock all right and challenged me to visit him again on the day when I could be sure of finding strike the right hour. When did I go again?
Please provide solution (algebraically) if possible. Thank you in advance!
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the clock goes up to 11 then resets when it should strike 12.
so it has a period of 11 hours compared to a normal clocks 12.
the next time it will be in sync with real time will be in 11 cycles time on effectively the 12th cycle (if the chiming at 10 is the first)
10 cycles of 11 hours is 110 hours
110+2 as we started at 10 not 1 = 112
112 hours later is on friday of that week.
so it has a period of 11 hours compared to a normal clocks 12.
the next time it will be in sync with real time will be in 11 cycles time on effectively the 12th cycle (if the chiming at 10 is the first)
10 cycles of 11 hours is 110 hours
110+2 as we started at 10 not 1 = 112
112 hours later is on friday of that week.
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It sounds to me like he visited him 11 days later.