Two faucets are dripping. One faucet drips every 4 seconds and the other faucet drips every 9 seconds. If a drop of water falls from both faucets at the same time, how many seconds will it be before you see the faucets drip at the same time?
Answers
The time at which both the faucets drip at the same time is 36 seconds
What is Least Common Multiple?
Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers
Given data ,
Let the time at which both faucet drips at the same time be = T
Let the first faucet be represented as = A
Let the second faucet be represented as = B
Now , the time at which the faucet A drips = 4 seconds
And , the time at which the faucet B drips = 9 seconds
So , the equation is given as
The time at which both faucets A and B drips at the same time = Least Common Multiple of both the times of faucet A and faucet B
Substituting the values in the equation , we get
The time at which both faucets A and B drips at the same time = Least common multiple of 4 and 9
Multiples of 4 = 4 , 8 , 12 , 16 , 20 , 24 , 28 , 32 , 36 , 40 ...
Multiples of 9 = 9 , 18 , 27 , 36 , 45 , 54 , 63 , 72 ...
So , 36 is the least common multiple of 4 and 9
Therefore , the value of T is 36 seconds
Hence ,
The time at which both the faucets drip at the same time is 36 seconds
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Answers
Answer:
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Answers
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Answers
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Answers
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0.5
2.75
=
2
d
B)
d
0.5
=
2.75
2
C)
d
2
=
0.5
2.75
D)
0.5
d
=
2
2.75
Answers
0.5 in. ... 2 miles
2.75 in. ... d miles = ?
0.5 * d = 2 * 2.75
d = 2 * 2.75 / 0.5
d = 11 miles
The correct result would be B) and D).
To determine the distance between her house and the park, Aricela can use the proportion:
0.5
2.75
=
2
d
. The distance on the map for 2 miles (0.5 in.) corresponds with the distance on the map between Aricela’s house and the park (2.75 inches) and the scaled distance (2 miles) corresponds to the actual distance between Aricela’s house and the park (d).
A the answer would be A.