A race boat covers a distance of 66km downstream in 110 minutes. It covers this distance upstream in 120 minutes. The speed of the boat in still water is 34.5 km/h. Find the speed of the steamer?
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Step-by-step explanation:
Let the speed of the stream or the streamflow be x km/hr.
When the racing boat is going downstream its speed is (34.5+x) km/hr and while going upstream its speed is (34.5-x) km/hr.
66/(34.5+x) = 110/60, or
110(34.5+x) = 66*60, or
(34.5+x) = 66*60/110 = 36, or
x = 36–34.5 = 1.5 km/hr.
Check: 66/(34.5-x) = 66/(34.5–1.5) = 66/33 = 2 hours or 120 minutes. Correct.
The streamflow is 1.5 km/hr.
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