At a constant rate of flow, it takes 20 minutes to fill a swimming pool if a large hose is used and 30 minutes if a small hose i

Question

3 years ago

6

At a constant rate of flow, it takes 20 minutes to fill a swimming pool if a large hose is used and 30 minutes if a small hose i

s used.
At these constant rates, how many minutes will it take to fill the pool when both hoses are used simultaneously?

A) 10 B) 12 C) 15 D) 25 E) 50

Mathematics

1 answer:

Nady [450] · Answer 1 · 2022-05-19T11:05:37+03:00

Answer:

B

Step-by-step explanation:

Firstly, let’s say they are to fill a total of x liters, rate for big hose would be x/20 while for small hose it would be x/30.

Now if they are to work combined, total time would be

x/20 + x/30 = 5x/60 = x/12

Hence, it will take them 12 minutes