Question

The speed of a boat downstream is 20% more than the speed of the boat in still water. If the boat can travel a distance of 288 km upstream in 18 hours, then find the distance traveled by the boat in 12.5 hours in downstream.

A 320km Correct Answer Incorrect Answer
B 280km Correct Answer Incorrect Answer
C 300km Correct Answer Incorrect Answer
D 260km Correct Answer Incorrect Answer

Solution

Let the speed of the boat be 10x km/h. Speed of boat in downstream = 1.2 × 10x = 12x km/h Speed of boat in upstream = 10x – 2x = 8x km/h According to the question. 8x = 288/18 =16 x = 16 x = 2 speed of the boat in downstream= 12×2=24 desired distance=24×12.5 =300km

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