A motor boat whose speed is 18 km/hr in still water takes 1hr more to go 24 km
upstream than to return downstream to the same spot. Find the speed of the stream.
Answers
Answer:
Hi mate ,,. here is ur ans
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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Answer:
let the speed of the steam be xkm/hr
therefore,the speed of the boat up steam =(18-x)km/hr
,the speed of the boat
downsteam=(18+x)km/hr
the time taken to go upsteam=distance/speed=24/18-x hr
similarly, the time taken to go downsteam=24/18+x hr
A.T.Q
24/18-x - 24/18+x =1
24 (18+x)-24 (18-x)=(18-x)(18+x)
x^2+48x-324=0
by using the quadratic formula
x=6
x=-54
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