If the speed of a boat moving against the current is 18 km/hr, what is the speed of the stream if the boat's speed downstream is 50% greater than its speed upstream ?

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  1. 5.2 kmph 
  2. 4.5 kmph
  3. 4.8 kmph
  4. 4.6 kmph

Answer (Detailed Solution Below)

Option 2 : 4.5 kmph
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Detailed Solution

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Given:

Speed against the current (Upstream speed) = 18 km/hr

Downstream speed = 50% more than upstream speed

Formula used:

Downstream speed = Upstream speed × 1.5

Speed of stream = (Downstream speed - Upstream speed) / 2

Calculation:

Downstream speed = 18 × 1.5

⇒ Downstream speed = 27 km/hr

Speed of stream = (27 - 18) / 2

⇒ Speed of stream = 9 / 2

⇒ Speed of stream = 4.5 km/hr

∴ The speed of the stream is 4.5 km/hr.

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