Clocks - Time

**MathLearner** · June 9th 2008, 11:55 AM

Clock A,B and Cstrikes every hour. B slows down and take 2 minutes longer than A per hour while C becomes faster and takes a minute less than A per hour. If they strike together at 12 midnight, when will they strike together again...?

ans: 11 am

**Soroban** · June 10th 2008, 12:16 PM

Hello, MathLearner!

Clocks $A, B\text{ and }C$ strike every hour.
$B$ slows down and take 2 minutes longer than $A$ per hour
while $C$ becomes faster and takes a minute less than $A$ per hour.
If they strike together at 12 midnight, when will they strike together again?

Answer: 11 am . . . . I don't agree!

Clock A strikes every 60 minutes.
Clock B strikes every 62 minutes.
Clock C strikes every 59 minutes.

The LCM of 60, 62, and 59 is: .109,740

$109,\!740\text{ minutes} \:=\:1829\text{ hours} \:=\:76\text{ days, }{\color{blue}5\text{ hours}}$

$\text{They will strike together at }{\color{red}5\text{ am}}\text{ (of the 77th day).}$

**MathLearner** · June 11th 2008, 12:55 AM

I am not sure about this... In the paper i was solving, the right option given was for 11 am.. there was no option as 5 am...

Thread: Clocks - Time

LinkBack

Thread Tools

Display

Clocks - Time

Similar Math Help Forum Discussions

Converting 100M Sprint Time in to 150 or 200M time

amplitude, perodic time, angular velocity, phase angle and lead time!

Two Cuckoo Clocks

Integrating velocity at a time into distance at a time

Posting 2nd time(1st time didnt get anyhelp)

Search Tags