One hose can fill a small swimming pool in 65 minutes. A larger hose can fill the pool in 35 minutes. How long will it take the two hoses to fill the pool working together?

Question

Mathematics

Aubrey Collins

4 November, 02:47

One hose can fill a small swimming pool in 65 minutes. A larger hose can fill the pool in 35 minutes. How long will it take the two hoses to fill the pool working together?

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Answers (1)

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Friday · Answer 1

22.75 minutes or 22 minutes 45 seconds

Step-by-step explanation:

Okay, this is a working together question. Let's walk through it together!

Firstly, let's say the total volume of the swimming pool is x sq. meters

Now, the rate of the smaller hose would be x/65 while that of the larger will be x/35

Now, their combined rate would be x/65 + x/35 = 100x/2275

Now, since the volume is x, the time taken is simply, the volume divided by the joint rate. That is mathematically equal to x divided by 100x/2275

x * 2275/100x = 2275/100 = 22.75 minutes or 22 minutes 45 seconds