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One hose can fill a small swimming pool in 65 minutes. A larger hose can fill the pool in 60 minutes. How long will it take the two hoses to fill the pool working together?

Respuesta :

22 minutes 44 seconds

Step-by-step explanation:

1st horse time taken = 65 min/job; invert to get rate = 1/65 job/min

2nd horse time taken = 35 min/job ; invert to get rate = 1/35 job/min

Together Time taken = n min/job ; invert to get rate = 1/n job/min

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Equation :-

Rate + Rate = together rate

1/65 + 1/35 = 1/n

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35n + 65n = 35*65

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100n = 2275

n = 22.75 minutes = 22 minutes 45 seconds

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(Answered by Benjemin)

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