A motorboat travelers 210 miles in 7 hours going upstream. It travels 364 miles going down stream in the same amount of time what is the rate of the boat in Stillwater it was the right of the current.

the rate of the boat in still water is 41 mph.

the rate of the current is 11 mph.

Step-by-step explanation:

Let x represent the rate of the boat in still water.

Let y represent the rate of the current.

A motorboat travels 210 miles in 7 hours going upstream. This means that the total speed with which the boat travelled is (x - y) mph.

Distance = speed × time

Distance travelled by the motor boat while going upstream is

210 = 7(x - y)

Dividing both sides of the equation by 7, it becomes

30 = x - y- - - - - - - - - - - 1

It travels 364 miles going down stream in the same amount of time. This means that the total speed with which the boat travelled is (x + y) mph.

Distance travelled by the motor boat while going downstream is is

364 = 7(x + y)

Dividing both sides of the equation by 7, it becomes

52 = x + y- - - - - - - - - - - 2

Adding equation 1 to equation 2, it becomes

82 = 2x

x = 82/2

x = 41

Substituting x = 41 into equation 2, it becomes

52 = 41 + y

y = 52 - 41

y = 11

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step-by-step explanation: