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A boat moves through the water of a river at 10m/s relative to the water, regardless of the boat ‘s direction . If the water in the river is flowing at n1.50m/s , how long does it take the boat to make a round trip consisting of of 300m displacement downstream followed by a 300m displacement upstream?

Respuesta :

Answer:

The appropriate solution is "61.37 s".

Explanation:

The given values are:

Boat moves,

= 10 m/s

Water flowing,

= 1.50 m/s

Displacement,

d = 300 m

Now,

The boat is travelling,

= [tex]10+1.50[/tex]

= [tex]11.5 \ m/s[/tex]

Travelling such distance for 300 m will be:

⇒ [tex]v = \frac{d}{t} \ sot \ t[/tex]

      [tex]=\frac{d}{v}[/tex]

On putting the values, we get

      [tex]=\frac{300}{11.5}[/tex]

      [tex]=26.08 \ s[/tex]

Throughout the opposite direction, when the boat seems to be travelling then,

= [tex]10-1.50[/tex]

= [tex]8.5 \ m/s[/tex]

Travelling such distance for 300 m will be:

⇒ [tex]v=\frac{v}{t} \ sot \ t[/tex]

      [tex]=\frac{d}{v}[/tex]

On putting the values, we get

      [tex]=\frac{300}{8.5}[/tex]

      [tex]=35.29 \ s[/tex]

hence,

The time taken by the boat will be:

= [tex]26.08+35.29[/tex]

= [tex]61.37 \ s[/tex]