omar2oxford
Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Two taps A and B fill a swimming pool together in two hours. Alone, it takes tap A three hours less than B to fill the same pool. How many hours does it take each tap to fill the pool separately?

Sagot :


a=b-3

2/)b-3)+2/b=1

a=3 hours

b=6 hours

Hippalectryon
Let's call [tex]a[/tex] the number of hours it takes for A to fill the pool and [tex]b[/tex] the number of hours it takes for B to fill the pool.

We have [tex]a=b-3[/tex] and [tex]\frac{2}a+\frac{2}b=1[/tex] hence [tex]\frac{2}{b-3}+\frac{2}b=1\Leftrightarrow b^2-7b+6=0\Leftrightarrow b=6\text{ or }b=-1[/tex] hence [tex]b=6[/tex] and thus [tex]a=3[/tex].

[tex]\boxed{b=6,a=3}[/tex]
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.