A race boat cover a distance of 66 km downstream in 110minutes.It cover this a distance of 66 km downstream in 110 minute it covers this distance upstream in one 120 minutes the speed of a boat in still water is 34.5 km per hour find the speed of stream erase board cover a distance of 66 km downstream in 110 minute it covers the distance upstream in 120 minutes the speed of the boat in still water is 34 or 34.5 km per hour find the speed of the streams
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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
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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Step-by-step explanation:1.5km/hr
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