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Direction : Study the following table to answer the questions that follow. Some values are missing. Study the table carefully and answer the questions based on data in table and particular questions.
On Wednesday, if the boat covered half distance upstream with usual speed and other half with double its speed, then it takes 33 3/4 hours less time than usual time to go upstream. Find the total time taken by the boat to go upstream and downstream.
120 hours
108 hours
92 hours
84 hours
128 hours
Let speed of boat = a km/hr So 270/(a-6) – [135/(a-6) + 135/(2a-6)] = 33.75 270/(a-6) – 135/(a-6) – 135/(2a-6) = 33.75 135/(a-6) – 135/(2a-6) = 33.75 1/(a-6) – 1/(2a-6) = 1/4 Solve, a = 9 and 2 Speed of stream = 6 km/hr,
so speed of boat = 9 km/hr
[speed of boat remains greater than speed of stream]
So total time = 270/(9-6) + 270/(9+6) = 90 + 18 = 108 hours
Hence, option 2 is the correct answer.
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