Speed of a boat in standing water is 14 kmph and the speed of the stre...
Given:Speed of the boat in standing water = 14 kmph
Speed of the stream = 1.2 kmph
Distance to be covered = 4864 km
To Find:Total time taken by the man to row to the place and come back to the starting point.
Concept:
The speed of the boat in standing water is the actual speed at which the boat can travel.
The speed of the stream affects the overall speed of the boat when rowing against or along the stream.
Calculation:
The speed of the boat in still water is 14 kmph.
The speed of the stream is 1.2 kmph.
When the boat is rowing against the stream, the effective speed of the boat is reduced by the speed of the stream.
So the speed of the boat while rowing against the stream will be 14 - 1.2 = 12.8 kmph.
When the boat is rowing along the stream, the effective speed of the boat is increased by the speed of the stream.
So the speed of the boat while rowing along the stream will be 14 + 1.2 = 15.2 kmph.
The total distance to be covered is 4864 km.
The total time taken to row to the place and come back can be calculated as follows:
Time taken to row to the place = Distance / Speed = 4864 / 12.8 = 380 hours (approx.)
Time taken to row back to the starting point = Distance / Speed = 4864 / 15.2 = 320 hours (approx.)
Total time taken = Time taken to row to the place + Time taken to row back = 380 + 320 = 700 hours (approx.)
Therefore, the total time taken by the man to row to the place and come back to the starting point is approximately 700 hours.
Answer:The correct answer is option A) 700 hours.