Three wheel make 36,24,60 rev/min each has a black mark on it. it is aligned at the start of the qn. when does it align again for the first time
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To find the answer to these type of question we use LCM - which is the least common multiple.
This will give the minutes after which the mark will be aligned again.
Hence we are going to find the least common multiple of 36, 24, 60
36 = 36,72,108,144,180,216,252,288,324,360
24 = 24,48,72,96,120,144,168,192,216,240,264,288,312,336,360
60 = 60,120,180,240,300,360
We can see that the least common multiple of the 36,24 and 60 = 360
Therefore the marks will be aligned again after 360 minutes = 360/60 hours
= After 6 hours.
This will give the minutes after which the mark will be aligned again.
Hence we are going to find the least common multiple of 36, 24, 60
36 = 36,72,108,144,180,216,252,288,324,360
24 = 24,48,72,96,120,144,168,192,216,240,264,288,312,336,360
60 = 60,120,180,240,300,360
We can see that the least common multiple of the 36,24 and 60 = 360
Therefore the marks will be aligned again after 360 minutes = 360/60 hours
= After 6 hours.
Answered by
2
Solution :-
We have to find the L.C.M. of 36, 24 and 60
36 = 2*2*3*3
24 = 2*2*2*3
60 = 2*2*3*5
L.C.M. of 36, 24 and 60 = 2*2*2*3*3*5
360
= 360 minutes
360/60 = 6 hours
Hence, it will align again after 6 hours.
Answer.
We have to find the L.C.M. of 36, 24 and 60
36 = 2*2*3*3
24 = 2*2*2*3
60 = 2*2*3*5
L.C.M. of 36, 24 and 60 = 2*2*2*3*3*5
360
= 360 minutes
360/60 = 6 hours
Hence, it will align again after 6 hours.
Answer.
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