Ram travels 12 miles downstream and upstream it takes 6 hours more to return than to go downstream . it he doubles his speed and covers the same distance of 12 miles downstream and upstream then it takes 1 hours more to go upstream than to go down stream . find the speed of stream
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Answer:
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Explanation:
Let the speed of Rahul in still water be
x
mph
and the speed of the current be
y
mph
Then, Speed upstream
=
(
x
−
y
)
mph
Speed downstream
=
(
x
+
y
)
mph
Distance = 12 miles
Time taken to travel upstream - Time taken to travel downstream = 6 hours
⇒
12
x
−
y
−
12
x
+
y
=
6
⇒
12
(
x
+
y
)
−
12
(
x
−
y
)
=
6
(
x
2
−
y
2
)
⇒
24
y
=
6
(
x
2
−
y
2
)
⇒
4
y
=
x
2
−
y
2
⇒
x
2
=
(
y
2
+
4
y
)
⋯
(Equation 1)
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