If Vishal covers 184 km in a boat in 48 hours against the stream and he takes 12 hours with the stream, then find the speed of the stream.

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  1. 5.75 km/hr
  2. 14.36 km/hr
  3.  10.64 km/hr
  4. 13.66 km/hr

Answer (Detailed Solution Below)

Option 1 : 5.75 km/hr
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Detailed Solution

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Given:

Distance (D) = 184 km

Time taken against the stream (Tagainst) = 48 hours

Time taken with the stream (Twith) = 12 hours

Formula Used:

Speed = Distance / Time

Speed against the stream (Sagainst) = Speed of boat (Vb) - Speed of stream (Vs)

Speed with the stream (Swith) = Speed of boat (Vb) + Speed of stream (Vs)

Speed of stream (Vs) = (Swith - Sagainst) / 2

Calculations:

Speed against the stream (Sagainst) = 184 / 48

⇒ Sagainst = 3.833 km/hr (approx)

Speed with the stream (Swith) = 184 / 12

⇒ Swith = 15.333 km/hr (approx)

Speed of the stream (Vs) = (15.333 - 3.833) / 2

⇒ Vs = 11.5 / 2

⇒ Vs = 5.75 km/hr

∴ The speed of the stream is 5.75 km/hr.

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