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    Topics || Problems

    A boat travels 60 miles upstream in 15 hours. The same boat makes a return trip downstream in 6 hours. Find the speed of the boat int the river

    Let \(V_b\) be the speed of boat on still water

    Let \(V_w\) be the speed of flowing water


    UPSTREAM - This means that the boat is moving againts the current (Flow of water).

    Thus; \(V_u = V_b - V_w\). As the boat moves up, the water is reducing its speed.

    DOWNSTREAM- This means that the boat is moving with the current (Flow of water).

    Thus; \(V_u = V_b + V_w\)

    \(V_u = \frac{distance travelled, s}{Time of travel, t} = \frac{60}{15}\)

    \(V_u = 4 mph\)

    \(V_d = \frac{60}{6} = 10 mph\)

    \(4 = V_b - V_w\)

    \(10 = V_b + V_w\)

    Add the two equations: \(14 = 2 V_b\)

    \(V_b = 7 mph\) Answer