Question

3
22. The speed of a boat in still water is 11 km/hr and the speed of the stream is x km/hr. Find in terms o
the speed of boat upstream and the speed of boat downstream. If the boat takes 2 hours to go
km upstream and then return, find the value of x.​

Answer 1

Answer:

Speed of the boat upstream =(11−x) Km/hr

Speed of the boat downstream =(11+x) Km/hr

Boat takes

4

11

hours to go upstream and downstream.

Thus,

11−x

12

+

11+x

12

=

4

11

4(132+12x+132−12x)=11(121−x

2

)

1056=1331−11x

2

11x

2

=275

x

2

=25

x=±5

Speed cannot be negative.

Thus, Speed of the stream is 5km/hr

Step-by-step explanation:

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