Answered

Explore a world of knowledge and get your questions answered on IDNLearn.com. Get accurate and comprehensive answers to your questions from our community of knowledgeable professionals.

A boat traveled 54 km with the stream and 42 km against the stream spending a total of as much time as it would spend while travelling 96 km in a lake. Find the speed of boat while it is travelling in the lake, if the current of the river is 3 km/hour.


Hii! If someone can like show how they got this I would really appreciate it! Thank you so much. I kinda need it quick

Sagot :

Mhanifaidn

Answer:

  • 24 km/h

Step-by-step explanation:

  • The speed of the boat  in the lake = x
  • The speed of the current = 3 km/h

Required equation:

  • 54 / (x + 3) + 42 / (x - 3) = 96/x
  • 9x(x - 3) + 7x(x + 3) = 16(x + 3)(x - 3)
  • 9x² - 27x + 7x² + 21x = 16x² - 144
  • 6x = 144
  • x = 144/6
  • x = 24 km/h

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Your questions find answers at IDNLearn.com. Thanks for visiting, and come back for more accurate and reliable solutions.