Answer:
1.8 mph
Step-by-step explanation:
Speed of the steamer in still water is 18 mph.
Speed of the current = x mph.
1. The steamer going downstream traveled the distance between two ports in 3 hours. Traveling downstream the current "helps" the steamer, then the speed is 18 + x mph.
The distance traveled downstream = 3(18 + x) miles.
2. The steamer going upstream traveled the distance between two ports in 3 hours 40 minutes that is [tex]3\frac{2}{3}[/tex] hours. Traveling upstream the current "interferes" the steamer, then the speed is 18 - x mph.
The distance traveled upstream [tex]3\dfrac{2}{3}(18-x)[/tex] miles.
3. The distances are the same, so
[tex]3(18+x)=3\dfrac{2}{3}(18-x)[/tex]
Solve this equation:
[tex]3(18+x)=\dfrac{11}{3}(18-x)\\ \\9(18+x)=11(18-x)\\ \\162+9x=198-11x\\ \\9x+11x=198-162\\ \\20x=36\\ \\x=1.8\ mph[/tex]
Answer:
The speed of water current is 1.8 mph
Step-by-step explanation:
Given information;
The speed in traveling downstream [tex]=x+18[/tex]
The speed in travelling upstream [tex]=18-x[/tex]
The distance traveled upstream [tex]= speed \times time[/tex] taken.
So, the distance will be [tex]=3\frac{2}{3} (18-x)[/tex]
As the distance is same in both the travel .
Then, we can write:
[tex]3(x+18)=3\frac{2}{3}(18-x)\\[/tex]
On solving the above equation:
[tex]3(x+18)=(11/3)(18-x)\\162+9x=198-11x\\20x=198-162\\x=1.8[/tex]
Hence, the speed of water current is 1.8 mph
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