# alegrbra

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A tugboat is going 100 miles upstream in 10 hours and returning downstream in 5 hours. What is the boats speed and the speed of the current?

• alegrbra -

Vmin = 100mi / 10hrs =10 mi/hr.
Vmax = 100mi / 5hrs = 20 mi/hr.

Vb = Vavg = (Vmin+Vmax)/2.
Vb = ((10+20) / 2 = 15 mi/hr.= Velocity
of boat.

Vc = (Vmax-Vmin)/2.
Vc = (20-10) / 2 = 5 mi/hr. = Velocity of current.

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