Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Two hoses from two different taps are used to fill a fishpond. The first hose alone
takes 20 minutes to fill the fishpond. The second hose alone takes 30 minutes to
fill the fishpond. How long would it take to fill the fishpond if both hoses are used?


Sagot :

Answer:  12 minutes

Step-by-step explanation:

Two rates for hoses A and B.  FP is the Fish Pond.

A = 20 min/FP   or (1/20)FP/min

B = 30 min/FP   or (1/30)FP/min

The time in minutes, X,  to fill  one FP:

                     1FP = X*((1/20)FP/min) + X*((1/30)FP/min)  

                     1FP = X*(1/20+1/30)FP/min

                     1FP = X*(2.5/30)FP/min

                      X = 12 minutes