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Drupady [299]
3 years ago
15

A boat has a speed of 9 mph in calm water. It takes the boat 4 hours to travel upstream but only 2 hours to travel the same dist

ance downstream. Which equation can be used to find c, the speed of the current?
Mathematics
2 answers:
lord [1]3 years ago
6 0

Answer: 4 ( 9 - c ) = 2 ( 9 + c )

Step-by-step explanation:

Since, Distance = Speed × Time

Here c represents the speed of current,

Thus, if the boat has the speed of 9 mph in still water,

Then its speed in upstream = ( 9 - c ) mph

Also, It takes the boat 4 hours to travel upstream.

Hence, total distance in upstream = 4 ( 9 - c )

Similarly its speed in downstream = ( 9 + c ) mph

Also, It takes the boat 2 hours to travel downstream.

Hence, total distance in downstream = 2 ( 9 + c )

Since, the distance in upstream and downstream is equal.

⇒ 4 ( 9 - c ) = 2 ( 9 + c )

Which is the required equation for finding the speed of current c..

Dmitrij [34]3 years ago
3 0
D=4(9-c) and d=2(9+c)

d=36-4c and d=18+2c

Since d=d

18+2c=36-4c  add 4c to both sides

18+6c=36  subtract 18 from both sides

6c=18  divide both sides by 6

c=3

So the speed of the current is 3mph
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<h3>How to find the height of the triangle?</h3>

Here we have a triangle such that two of the sides measure 9 inches, and the base measures 6 inches.

So this is an isosceles triangle.

We can divide the isosceles triangle into two smaller right triangles, such that the side that measures 9 inches is the hypotenuse, the base is 3 inches, and the height of the isosceles triangle is the other cathetus.

By Pythagorean's theorem, we can write:

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