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White raven [17]
3 years ago
9

A boat goes 240 miles downstream in the same time it can go 160 miles upstream. The speed of the current is 5 miles per hour. Wh

at is the speed of the boat in still water?​
Mathematics
1 answer:
Rasek [7]3 years ago
7 0

Answer:

25 mph.

Step-by-step explanation:

Le tx mph be the speed of the boat in still water. Then the speed going downstream is x+5 mph and the speed going upstream is x-5 mph.

1. A boat goes 240 miles downstream and it took it

\dfrac{240}{x+5}\ hours.

2. A boat goes 160 miles upstream and it took it

\dfrac{160}{x-5}\ hours.

Then

\dfrac{240}{x+5}=\dfrac{160}{x-5},\\ \\240(x-5)=160(x+5),\\ \\3(x-5)=2(x+5),\\ \\3x-15=2x+10,\\ \\3x-2x=10+15,\\ \\x=25\ mph.

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