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Q.

The boat sails down the river for 10 km and then up the river for 6 km. The speed of the river flow is 1 km/h. What is the minimum speed of the boat for the trip to take a maximum of 4 hrs.?


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is C.

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Detailed Solution

Concept: When we move in the direction of the river, the river's pace drives up our speed. In a similar manner, as we travel downstream of the river, our speed equals that of the river. The distance and speed are now known. Therefore, account for time both upstream and downstream. Adding them now will equalize the total to the specified value.
Assume the boat is moving at a certain speed. Question Image.
Boat speed relative to the direction of the river flow Question ImageBoat speed when traveling against the flow of the river Question ImageTotal time taken for trip Question ImageQuestion ImageOn solving we get Question Image.
Hence, the correct answer is option 3.
 
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