Question
Asked Oct 12, 2019
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A motorboat traveling with the current went 36 mi in 2 h. Traveling against the current, it took 3 h to travel the same distance. Find the rate of the boat in calm water and the rate of the current.

rate of boat     mph
rate of current     mph
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Expert Answer

Step 1

A motorboat traveling with the current went 36 mi in 2 h. Traveling against the current, it took 3 h to travel the same distance. Find the rate of the boat in calm water and the rate of the current.

Step 2

Let s= speed of the motor boat in calm water

C= speed of the current

Use the formula distance = speed (time)

D=r*t

S+c = speed of the boat traveling with the current

s-c= speed of the boat traveling against the current

Step 3

Traveling with the current the boa...

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d 36 r =s+c t 2 d rxt use 36=(s+c)x2

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Tagged in

Math

Algebra