Krewkit1
Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

The junior senator can do a labyrinth in 50 minutes. The senior senator can do a labyrinth in 30 minutes. Working together, how many minutes would it take them to work their way through 12 labyrinths?

Sagot :

Corsaquix

Answer:

[tex]225\:\text{minutes}[/tex]

Step-by-step explanation:

To navigate through this problem, start by finding how much each senator can complete in a fixed amount of time. I'll choose 10 as it's the greatest common factor of 30 and 50.

In 10 minutes, the junior senator can complete [tex]\frac{10}{50}=\frac{1}{5}[/tex] of the labyrinth.

In 10 minutes, the senior senator can complete [tex]\frac{10}{30}=\frac{1}{3}[/tex] of the labyrinth.

Therefore, working together, they can complete [tex]\frac{1}{5}+\frac{1}{3}=\frac{8}{15}[/tex] of the labyrinth in 10 minutes. Thus, it will take them [tex]\frac{15}{8}\cdot 10 \text{ minutes}=18.75\:\text{minutes}[/tex] to complete one labyrinth.

The amount of time it take them to complete 12 labyrinths is then [tex]18.75\cdot 12 =\boxed{225\:\text{minutes}}[/tex]

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.