Question
A boat takes 24 minutes to cover 28 km downstream, while it takes 42 minutes to cover 42 km upstream. Find the distance covered by the boat in 5 hours in still water.
Solution
Downstream speed of boat = 28 Γ· (24/60) = 28 Γ (60/24) = 70 km/h
Upstream speed of boat = 42 Γ· (42/60) = 42 Γ (60/42) = 60 km/h
Speed of boat in still water = (1/2) Γ (70 + 60) = 65 km/h
Therefore, required distance = 65 Γ 5 = 325 km
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