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#mathematics
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#mathematics-grade-11
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#problem-solving
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Two pipes can fill a tank in 6hour the large pipe works twice as fast as the smaller pipe.how long would it take each pipe to fill the tank if they worked separately
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Anonymous
Nov 29, 2023
Two pipes can fill a tank in 6hour the large pipe works twice as fast as the smaller pipe.how long would it take each pipe to fill the tank if they worked separately ?
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Nov 29, 2023
Let's assume that the smaller pipe can fill the tank in x hours.
Since the larger pipe works twice as fast as the smaller pipe, it can fill the tank in x/2 hours.
Together, the two pipes can fill the tank in 6 hours.
Using the formula:
1/(x/2) + 1/x = 1/6
Multiplying through by 6x, we get:
6 + 12 = x/2
18 = x/2
x = 36
Therefore, it would take the smaller pipe 36 hours to fill the tank if it worked separately.
The larger pipe, which works twice as fast, would take 36/2 = 18 hours to fill the tank if it worked separately.
Since the larger pipe works twice as fast as the smaller pipe, it can fill the tank in x/2 hours.
Together, the two pipes can fill the tank in 6 hours.
Using the formula:
1/(x/2) + 1/x = 1/6
Multiplying through by 6x, we get:
6 + 12 = x/2
18 = x/2
x = 36
Therefore, it would take the smaller pipe 36 hours to fill the tank if it worked separately.
The larger pipe, which works twice as fast, would take 36/2 = 18 hours to fill the tank if it worked separately.
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