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?

Step-by-step explanation:

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

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

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

Equation:

rate + rate = together rate

1/65 + 1/35 = 1/n

35x + 65n = 35*65

100n = 2275

n = 22.75 minutes = 22 minutes 45 seconds