A boatman rows 30 km downstream and 18 km upstream, taking 3 hours for each leg of the journey. Find the speed of the boat in still water. MCQ with Answer and Explanation
A cyclist tracks a sector distance of 24 km at a certain speed. If he drops his pace by 2 km/h, he takes 1 hour more to cover the route. Find his baseline speed.
Explanation:
Let original speed be s. 24 / (s - 2) - 24 / s = 1 => 24(2) = s(s - 2) => 48 = s(s - 2). Solving s^2 - 2s - 48 = 0 yields (s - 8)(s + 6) = 0. Since speed must be positive, s = 8 km/h.
Explanation:
Let each third segment distance be 40 km. Total sector distance = 120 km. Total time = 40/20 + 40/40 + 40/40 = 2 + 1 + 1 = 4 hours. Average speed across route = 120 / 4 = 30 km/h.
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