three clocks ring at the intervals of 4 sec, 5 sec and 8 sec respectively. if they ring together at 10 am then how many times will span of 4 minutes
Answers
three clocks ring together at 10am
again after 40secs they ring together
for every 40 sec interval three rings together
so, 4min= 4×60=240sec
no. of intervals =240/40=6
6 times is the answer
The number of times clocks ring in a span of 4 minutes is 6.
Step-by-step explanation:
Consider the provided information.
Three clocks ring at the intervals of 4 sec, 5 sec and 8 sec respectively.
First find the LCM of 4, 5 and 8.
4 = 2×2
5 = 5
8 = 2×2×2
The LCM of 4, 5 and 8 is 2×2×2×5=40
That means they ring together at an interval of 40 seconds.
We need to determine the number of times clocks ring together at a span of 4 minutes.
4 minutes = 4×60 = 240 seconds
The number of times the four clocks ring together is given by:
Thus, the number of times clocks ring in a span of 4 minutes is 6.
#Learn more
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