Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Jim paddles from one shore of a lake three miles wide at 4 mph, and John paddles from the opposite shore at 5 mph. How long will they travel before they meet?

Sagot :

AL2006
The space between them is shrinking at the rate of (4 + 5) = 9 mph.

The lake is 3 miles wide, so the space between them starts out at
3 miles, and shrinks to zero in 3/9 = 1/3 of an hour = 20 minutes.

Distance = Velocity * Time


Now, write the equations for the distance Jim and John each paddle as a function of time.


D_jim = 4 mph * time

D_john = 5 mph * time


And, the total combined distance that they both travel

D_total = D_jim + D_john

D_total = 4 mph * time + 5 mph * time

D_total = (4mph + 5mph) * time = 9 mph * time


Now, since they are both paddling from opposite sides of a river, when they meet, their total combined distance equals the width of the river, or 3 miles


3 miles = 9 mph * time

time = 3 miles / 9 mph = 1/3 hr = 20 minutes <== ANSWER

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.