Question
In: 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.
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.)
Solutions
Expert Solution
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
milcah answered 2 years agoRelated Solutions
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