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
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
Hello, MathLearner!
Clock A strikes every 60 minutes.Clocks $\displaystyle A, B\text{ and }C$ strike every hour.
$\displaystyle B$ slows down and take 2 minutes longer than $\displaystyle A$ per hour
while $\displaystyle C$ becomes faster and takes a minute less than $\displaystyle A$ per hour.
If they strike together at 12 midnight, when will they strike together again?
Answer: 11 am . . . . I don't agree!
Clock B strikes every 62 minutes.
Clock C strikes every 59 minutes.
The LCM of 60, 62, and 59 is: .109,740
$\displaystyle 109,\!740\text{ minutes} \:=\:1829\text{ hours} \:=\:76\text{ days, }{\color{blue}5\text{ hours}} $
$\displaystyle \text{They will strike together at }{\color{red}5\text{ am}}\text{ (of the 77th day).}$