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a kayaker travels x miles per hour downstream for 3 hours. on the 4-hour return trip, the kayaker travels 1 mile per hour slower. how far did the kayaker travel in total?

Verified Answer :

3x is the miles from downstream
4 (x - 1) is the return trip 

Solution:
3x = 4 (x - 1)
3x =4x - 4
-x = -4 
x = 4 

The outward journey 3x = 12 miles 
Return journey is same length 
Therefore the distance travel is 24 miles

Answer:

The answer is 24 miles.

Step-by-step explanation:

We know that distance = rate * time

Length of the journey = \(3x\) from downstream

Length of the journey = \(4(x-1)\) from return trip

As the distance is same, we will equate both the journey lengths.

\(3x= 4(x-1)\)

Solving for x;

\(3x=4x-4\)

\(-x=-4\)

x = 4

Thus the forward journey, \(3x=3(4)\) = 12 miles.

Return journey will be of same length that is 12 miles.

The total distance traveled is \(12+12=24\) miles.

Therefore, the answer is 24 miles.

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