On Wednesday if the boat covered half distance upstream with usual speed and other half with double ...........

Quantitative Aptitude ( CCS) Data Table

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

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Explanation:

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.