The speed of a boat in still water is 9 km/h. The time it takes to travel downstream is half the time it takes to travel upstream. What is the speed of the stream?


A

3 km/h


B

2.5 km/h


C

4 km/h


D

3.5 km/h


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Question: The speed of a boat in still water is 9 km/h. The time it takes to travel downstream is half the time it takes to travel upstream. What is the speed of the stream?

Solution:
Let the speed of the current be = x km/h

Then,
Downstream speed = (9 + x) km/h
Upstream speed = (9 - x) km/h

According to the question:
(9 + x) = 2(9 - x)
⇒ 9 + x = 18 - 2x
⇒ 2x + x = 18 - 9
⇒ 3x = 9
⇒ x = 9/3
⇒ x = 3

∴ Speed of the stream = 3 km/h

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Updated: 1 day ago

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