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A motorboat can maintain a constant speed of 24 mph relative to the water. The boat makes a trip upstream to a certain point in 62 minutes. the return trip takes 34 minutes. What is the speed of the current?

• algebra -

d1 = d2,
(24-Vc)1.0333 = (24+Vc)0.5666,
24.8 - 1.033Vc = 13.6 + 0.5666Vc,
-1.0333Vc -0.5666Vc = 13.6 -24.8,
-1.6Vc = -11.2,
Vc = 7mi/h.

d1 = Distance upstream.
d2 = Distance downstream.
Vc = Velocity of the current.

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