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.)

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 ago

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

A fisherman can row upstream at 4mph and downstream at 6mph. 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 too 6 hours? The distance the fisherman rowed in ----- miles (Type an integer or a decimal)

Question

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.

Solutions

Expert Solution

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