Question

the speed of a boat in still water is 15 kilometre per hour and the speed of the stream is 5 kilometre per hour find the time taken by the boat to cover 40 upstream 36 downstream​

Answer 1

Answer:

Speed of boat in still water =15 km/hr

Let x be speed of the stream in km/hr

Speed of the boat upstream =15−x

Speed of the boat down stream =15+x

Time taken for upstream T

1

=

15−x

30

Time taken for downstream T

2

=

15+x

30

Given, T

1

+T

2

=

2

9

=

15−x

30

+

15+x

30

=

2

9

=30(

15−x

1

+

15+x

1

)=

2

9

=30(

(15−x)(15+x)

15+x÷15−x

)=

2

9

=

225−x

2

30×30

=

2

9

=

225−x

2

100

=

2

1

⇒225−x

2

=200

⇒x

2

=25

⇒x=5 ....(∵x is +ve)

⇒x=5 km/hr

Speed of the stream =5 km/hr