Two faucets are dripping. One faucet will drip every 4 seconds and the other faucet drips every 9 seconds. If a drop of water falls from both faucets at the same, how many seconds will it be before you see the faucets drip at the same time again?
Question
Two faucets are dripping. One faucet will drip every 4 seconds and the other faucet drips every 9 seconds. If a drop of water falls from both faucets at the same, how many seconds will it be before you see the faucets drip at the same time again?
Solution
To solve this problem, we need to find the least common multiple (LCM) of the two numbers, 4 and 9. The LCM of two numbers is the smallest number that is a multiple of both numbers.
Step 1: List the multiples of each number.
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120...
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, 225, 234, 243, 252, 261, 270...
Step 2: Find the smallest number that appears in both lists.
The smallest number that appears in both lists is 36.
So, it will be 36 seconds before you see the faucets drip at the same time again.
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