A boat crew that can row at a rate of 8 miles per hour in still water has found that it takes 1.5 times as long to row any specified distance upstream as it takes to row the same distance downstream. What is the rate of the current in miles per hour? (I would appreciate the full solution)
Answers
Given : A boat crew that can row at a rate of 8 miles per hour in still water has found that it takes 1.5 times as
long to row any specified distance upstream as it takes to row the same distance downstream
To Find : rate of the current in miles per hour
Solution
Boat speed in Still water = 8 miles per hr
Speed of Current = C miles/hr
Down stream speed = 8 + C miles/hr
Upstream Speed = 8 - C mile /hr
Let day Distance = D miles
Time Down stream = D/(8 + C) hr
Time UP stream = D/(8- C) hr
D/(8- C) = 1.5 D/(8 + C)
=> D/(8- C) = (3/2) D/(8+C)
=> 2(8 + C) = 3(8 - C)
=> 16 + 2C = 24 - 3C
=> 5C = 8
=> C = 8/5
=> C = 1.6
1.6 miles/hr
rate of the current in miles per hour =1.6 miles/hr
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