Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
To solve for the speed of the current, let's denote the speed of the boat in still water as [tex]\(10\)[/tex] miles per hour and let [tex]\(x\)[/tex] be the speed of the current in miles per hour.
When the boat travels with the current, its effective speed is [tex]\((10 + x)\)[/tex] miles per hour. The boat covers a distance of [tex]\(6\)[/tex] miles with the current. The time taken to travel these 6 miles is:
[tex]\[ \text{time with current} = \frac{6}{10 + x} \][/tex]
When the boat travels upstream against the current, its effective speed is [tex]\((10 - x)\)[/tex] miles per hour. The boat covers a distance of [tex]\(4\)[/tex] miles upstream. The time taken to travel these 4 miles is:
[tex]\[ \text{time upstream} = \frac{4}{10 - x} \][/tex]
Since the times taken to travel both distances are the same, we can set up the following rational equation:
[tex]\[ \frac{6}{10 + x} = \frac{4}{10 - x} \][/tex]
When the boat travels with the current, its effective speed is [tex]\((10 + x)\)[/tex] miles per hour. The boat covers a distance of [tex]\(6\)[/tex] miles with the current. The time taken to travel these 6 miles is:
[tex]\[ \text{time with current} = \frac{6}{10 + x} \][/tex]
When the boat travels upstream against the current, its effective speed is [tex]\((10 - x)\)[/tex] miles per hour. The boat covers a distance of [tex]\(4\)[/tex] miles upstream. The time taken to travel these 4 miles is:
[tex]\[ \text{time upstream} = \frac{4}{10 - x} \][/tex]
Since the times taken to travel both distances are the same, we can set up the following rational equation:
[tex]\[ \frac{6}{10 + x} = \frac{4}{10 - x} \][/tex]
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.