hey guys pls solve this
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A boat goes downstream and covers the distance between two ports in 96 minutes, while it covers the same distance upstream in 120 minutes. if the speed of the stream is 1km/h, Find the speed of boatin still water.
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Convert the time to hours:
96 mins = 96 ÷60 = 1.6 hour
120 mins = 120 ÷ 60 = 2 hours
Let the speed of the boat in still water be x km/h
Upstream = ( x - 1 ) km/h
Downstream = ( x + 1) km/h
Distance = Speed x Time
Upstream:
Distance = (x - 1) (2 ) = 2x - 2
Downstream:
Distance = (x + 1) (1.6) = x + 1.6
Since the distance for upstream and downstream is the same:
x + 1.6 = 2x - 2
0.4x = 3.6
x = 9 km/h
Answer: The speed of the boat in still water is 9 km/h
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