A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:
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the rate of stream is 12+16=28km
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He finds that he can row 4 km with the stream in the same time as 3 km against the stream.
Let the number of hours he moved 4 km downstream be 'x'
We know that,
Speed=distance/time
Speed downstream=4/x
As time is same,
Speed upstream=3/x
48/(4+x)+48/(3+x)=14
By simplifying, we get
x=1/2
Speed downstream= 4÷1/2 = 8 km/hr
Speed upstream =3÷1/2 = 6 km/hr
Rate of the stream = 1/2 (speed downstream - speed upstream)
=1/2(8-6)
=1/2(2)
=1 km/hr
Hope it helps
Let the number of hours he moved 4 km downstream be 'x'
We know that,
Speed=distance/time
Speed downstream=4/x
As time is same,
Speed upstream=3/x
48/(4+x)+48/(3+x)=14
By simplifying, we get
x=1/2
Speed downstream= 4÷1/2 = 8 km/hr
Speed upstream =3÷1/2 = 6 km/hr
Rate of the stream = 1/2 (speed downstream - speed upstream)
=1/2(8-6)
=1/2(2)
=1 km/hr
Hope it helps
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