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6.A motor boat whose speed is 18 km/h in still water takes 1
hour more to go 24 km upstream than to return downstream
to the same spot. Find the speed of the stream.
Answers
Answered by
0
Answer:
24km/hr
Step-by-step explanation:
the stream speed is 24 km/hr
Answered by
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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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