A question to all the mathematicians...
The first one to write the correct answer will be marked the branliest... Quiz for today.....
ques.
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
Answer:
Given parameters:
The speed of the motorboat in still water =18 kmph
Let us consider
The speed of the stream = s
Speed of boat upstream = Speed of a boat in still water – the speed of a stream
Speed of boat upstream = 18 – s
Speed of boat downstream = Speed of a boat in still water + speed of a stream
Speed of boat downstream = 18 + s
Time is taken for upstream = Time taken to cover downstream + 1
time =distance/speed
DistanceupstreamSpeedupstream=DistancedownstreamSpeeddownstream+1
24/ (18 – s) = [24/(18 + s)] + 1
24(18+s) = 24(18−s) + (18−s)(18+s)
s2 + 48s − 324 = 0
s2 + 54s − 6s − 324 = 0
(s+54)(s−6) = 0
s = 6,−54 but
s ≠−54
Since the speed of steam cannot be negative.
∴ s = 6km/hr
Answer:
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