Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. a fisherman can row upstream at 4 mph and downstre

A fisherman can row upstream at 4 mph and downstream at 6 mph. He started...

Free

70.2K

Verified Solution

Question

Basic Math


A fisherman can row upstream at 4 mph and downstream at 6 mph. He started rowing upstream until he got tired and then rowed downstream to his starting point. How far did the fisherman row if the entire trip took 6 hours? 


The distance the fisherman rowed is _______  mi. (Type an integer or a decimal.)

Answer & Explanation Solved by verified expert
3.9 Ratings (763 Votes)

Suppose the fisherman goes x miles away from starting point.

Speed in upstream = 4 mph

Time taken to travel x miles in upstreaPm

= x/4 hours

Speed in downstream = 6 mph

Time taken to travel x miles in downstream

= x/6 hours

Time taken in entire trip = 6 hours

x/4 + x/6 = 6

Multiplying both sides by 12

3x + 2x =72

5x = 72

x =72/5

x = 14.4 miles

Total distance the fisherman rowed

= 14.4 + 14.4 = 28.8 miles

The distance the fisherman rowed = 28.8 miles
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

3) consider computing e^x-1/x a) Explain when and why a loss of significance can happen. b) show...

Advance Math
Q

1) Sort the phrases pertaining to pure substances and mixtures as either true or false. Note:...

Chemistry
Q

Why would some tissue cultures require different formulations of nutrients to what other would? ( i.e...

Biology
Q

define what you feel communication is. Next, tell how important communication is in a relationship.

Psychology
Q

Drill lifetime: A sample of 50 drills had a mean lifetime of 12.20 holes drilled...

Basic Math
Q

As x approaches infinity for which of the following functions does f x also approach...

Calculus
Q

4 In the figure below ADEF ANPL Find the lengths of the missing sides E...

Algebra
Q

Suppose you deposit $2,000 in a savings account that pays interest at an annual rate...

Algebra
Q

Find the average rate of change for the function f x x 3 3 between...

Algebra
Q

Your answer is partially correct. Sheridan Corporation acquires a coal mine at a cost of...

Accounting
Q

Both expense on foed-assets create a taxshield for a company, because both expenses reduce payments...

Accounting
Q

Cox Hiectric makes electronic compenents and has estimated the folloming fer a new design of...

Accounting