A motorboat takes a total of 10 hours to cover 120 km upstream and return. If it takes 15 hours to
cover 150 km downstream and 200 km upstream, find the speed of the motorboat in still water and
the speed of the stream.
Answers
Answered by
1
Step-by-step explanation:
The speed of motorboat in the water is 20km/hr.The flow of stream is 5km/hr.
Answered by
0
Let the speed of the stream be x km\hr.
The speed of the boat upstream = (18 - x) km/hr
The speed of the boat downstream = (18 + x) km/hr
Distance = 24 km
As given in the question,
Time for upstream = 1 + Time for downstream
24/(18 - x) = 1 + 24/(18 + x)
24/(18 - x) - 24/(18 + x) = 1
x2 + 48x - 324 = 0
(x + 54)(x - 6) = 0
x ≠ - 54 as speed cannot be negative.
x = 6
The speed of the stream = 6 km/hr
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