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A fisherman can row upstream at 2mph and downstream at 8mph. He started rowing upstream till he got tired and the rowed downstream to his st
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A fisherman can row upstream at 2mph and downstream at 8mph. He started rowing upstream till he got tired and the rowed downstream to his starting point. How far did the fisherman row if the entire trip took 2 hours
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Mathematics
1 year
2021-08-24T01:40:39+00:00
2021-08-24T01:40:39+00:00 1 Answers
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Answer:
The fisherman row 6.4 miles total.
Step-by-step explanation:
Let the distance from his starting point to the point he turn around is “d” miles.
Given upstream speed is 2 mph and downstream speed is 8 mph.
We now that time = distance /speed
So the time required to row “d “miles upstream = d/2 hours
The time required to row “d” miles downstream = d/8 hours.
As the entire trip took 2 hours so the equation will be :
d/2 +d/8 = 2
( 4d + d ) /8 = 2
5d = 16
d = 16/ 5 = 3.2 miles
So the fisherman rowed a total of ( 3.2 x 2 ) miles = 6.4 miles.