1.

A boat travel 30 km upstream and 44 downstream in 10 hr A same boat travel 40 km upstream and 55 km downstream in 13 hr​

Answer»

Answer:

Let the speed of the boat in still water be u and speed of the stream be V.

The speed while going upstream is u−v and going DOWNSTREAM is u+v.

We know that Time=

Speed

Distance

, hence we write the following equations:

u−v

30

+

u+v

44

=10

u−v

40

+

u+v

55

=13

Let u−v=x and u+v=y, the equations become,

x

30

+

y

44

=10 ........ (1)

x

40

+

y

55

=13 ........ (2)

Using 3×equation(2)−4×equation(1), we get:

y

165

−

y

176

=39−40

We get y=11.

Substituting the value in (1), we get x=5. Hence u+v=11 and u−v=5.

Therefore, speed of the boat in still water u=8km/h and speed of the stream is v=3km/h.

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