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Year

CAT 2023

Section

Quantitative

Topic

Time, Speed and Distance

Difficulty

Medium

Question

Slot-3

A boat takes 2 hours to travel downstream a river from port A to port B, and 3 hours to return to port A. Another boat takes a total of 6 hours to travel from port B to port A and return to port B. If the speeds of the boats and the river are constant, then the time, in hours, taken by the slower boat to travel from port A to port B is

3(35)3(3-\sqrt{5})

12(52)12(\sqrt{5}-2)

3(3+5)3(3+\sqrt{5})

3(51)3(\sqrt{5}-1)

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