A streamer goes down the stream from
one port to another in
3 hours it cover the same distance up the stream in 4 hours .if the speed of the stream is 2km/hr,find the speed of stream in still water and the distance between the two ports
only answer the qus
Answers
Answer:
180 km is the answer
Step-by-step explanation:
Answer:
Hi !!
Step-by-step explanation:
Let,
distance between the ports = y
By question,
upstream: downstream:
distance= y. distance= y.
time = 4 hrs. time = 3 hrs.
speed = d/t= y/4Km/hr. speed = d/t= y/3 Km/hr.
Therefore,
speed of stream= 1/2(speed of downstream- speed of upstream)
= 1/2(y/3 - y/4) ......(a)
As speed of stream given in the question is 2Km/hr, equate it to equation (a).
2 = 1/2(y/3-y/4)
take LCM for y/3 & y/4
2 = 1/2(4y/12 - 3y/12)
2 = 1/2(1y/12)
2 = 1y/24
bringing the denominator to the other side,
2×24=y
48=y
therefore,
The distance between the ports is 48Km.
Hope this helps you!!!
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