A boat can travel at a speed of 15.5 km/h in still water. If speed of the stream is 4.5 km/h, then how much time will it take to go 76 km downstream and 104.5 km upstream?

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  1. 15 hours 20 minutes
  2. 13 hours 18 minutes
  3. 12 hours 30 minutes
  4. 18 hours 13 minutes

Answer (Detailed Solution Below)

Option 2 : 13 hours 18 minutes
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Detailed Solution

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Given:

Speed of boat in still water = 15.5 km/h

Speed of stream = 4.5 km/h

Downstream distance = 76 km

Upstream distance = 104.5 km

Concept:

Time taken = Distance/Speed

Downstream speed = Speed of boat + Speed of stream

Upstream speed = Speed of boat - Speed of stream

Solution:

⇒ Downstream speed = 15.5 + 4.5 = 20 km/h

⇒ Upstream speed = 15.5 - 4.5 = 11 km/h

⇒ Time taken = (Downstream distance/Downstream speed) + (Upstream distance/Upstream speed) = (76 / 20) + (104.5 / 11) = 3.8 + 9.5 = 13.3 hours ≈ 13 hours 18 minutes

Therefore, it will take approximately 13 hours 18 minutes to complete the journey.

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