1. ## Clocks - Time

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

2. 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

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

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

3. 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...