Question

A boat can travel 45 km downstream in 50 min. The ratio of the speed of the boat in still water to the speed of the stream is 5: 4. How much time will the boat take to cover 22 km upstream?

A 1 hour 48 min Correct Answer Incorrect Answer
B 3 hour 40 min Correct Answer Incorrect Answer
C 1 hour 50 min Correct Answer Incorrect Answer
D 2 hour 30 min Correct Answer Incorrect Answer

Solution

Speed of downstream = D/T = 45 × (60/50) = 54 km/hr The ratio of the speed of the boat in still water to the speed of the stream = 5: 4 (5x, 4x) => 9x = 54 => x = 6 Speed of upstream = 5x – 4x = x = 6 km/hr Distance = 22 km Time = D/S = 22/6 = 3(2/3) hr = 3 hour 40 min

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