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horrorfan [7]
3 years ago
10

One faucet fills up a bathtub in 15 minutes while the second fills it up in 10 minutes. If both faucets are turned on, what frac

tion of the bathtub will be filled in 1 minute?
Mathematics
2 answers:
yaroslaw [1]3 years ago
8 0
Faucet one fills up \frac{1}{15} of the bathtub in one minute and faucet two fills up \frac{1}{10} of the bathtub in one minute. If both are one then they will fill up  \frac{1}{15}+ \frac{1}{10} =  \frac{5}{30} =  \frac{1}{6} So, 1/6 of the bathtub in one minute. 
mixer [17]3 years ago
3 0

Answer:

Both the faucets will fill 1/6th part of the bathtub.

Step-by-step explanation:

This question can be solved with help of unitary method, means we will calculate the fraction of the bathtub filled by both the faucets individually then by adding their fractions.

∵ 15 minutes have been taken by one faucet is = 1 bathtub.

∴ in 1 minute the fraction of tub can be filled = 1/15 part of full bathtub

Similarly for the second faucet

∵ 10 minutes have been taken by second faucet is = 1 bathtub

∴ in 1 minute the fraction of bathtub will be filled = 1/10 part of bathtub.

Now we will add them to get the fraction of bathtub filled by both the faucets in one minute.

= 1/10 + 1/15= \frac{(3 + 2)}{30}=\frac{5}{30}=\frac{1}{6}

Therefore 1/6th part of the bathtub will be filled in 1 minute by both the faucets.

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