Rohit can row his boat at 31 km/h in still water. But he takes 1 hour more to row upstream in comparison to downstream. If the distance of upstream or downstream is 15 km, find the speed of the stream.
Answers
Answer:
Let the distance=d,
The speed of the boat =x and the speed of the water current=y.
UPSTREAM-
The relative speed of the boat & water current=x−y.
Then the time taken =
x−y
d
.
DOWNSTREAM-
The relative speed of the boat & water current=x+y.
Then the time taken =
x+y
d
.
So, by the given condition,
x−y
d
=2×
x+y
d
⟹2x−2y=x+y
⟹x=3y
⟹
y
x
=
1
3
i.ex:y=3:1
So the required ratio =3:1
Correct Question:
Rohit can row his boat at √31 km/h in still water. But he takes 1 hour more to row Upstream in comparison to downstream. If the distance of upstream or downstream is 15km, Find the speed of the stream.
Given:
Rohit can row his boat at √31 km/h in still water
He takes 1 hour more to row upstream in comparison to downstream
If the distance of upstream or downstream is 15 km
To find:
The speed of the stream
Solution:
Let "x" km/hr represent the speed of the stream.
The speed of the boat in still water = √31 km/hr
So,
The speed of the boat upstream = (√31 - x) km/hr
and
The speed of the boat downstream = (√31 + x) km/hr
We have the formula as:
Now, according to the question and based on the formula above, we can form an equation as:
since speed of the stream cannot be in negative so we will ignore it
Thus, the speed of the stream is → 1 km/hr.
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