I need help with my math

Question

A boat traveled downstream a distance of

104 mi and then came right back. If the speed of the current was

77 mph and the total trip took 44 hours and 20 minutes, find the average speed of the boat relative to the water

Answer 1

The speed of the current is 7 mph.

It makes more sense AND makes the problem correct.

Downstream

104= (x+7)t = xt+7t

104=(x-7)(133/3-t)

foil s right side.

They both equal 104,so sets them equal:

Xt+7t= (133/3)x-xt+7t-931/3

Subtracts 7t:

Xt = (133/3)x -xt - 931/3

Adds xt:

2xt = (133/3)x - 931/3

Multiplies by 3 to clear the fraction:

6xt = 133x-931

So t = (133x-931)/(6x)

Substitutes into the downstream equation:

104= (x+7)(133x-931)/(6x)

624x= (x+7)(133x-931)

624x= 133x^2-931x+931x-6517

624x=133x^2-6517

0=133x^2-624x-6517

Quadratic formula says x=9.728486130379....

Is the speed of the boat

Yes it checks