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