When the speed of the stream in region CD is 3 kmph boat X takes 47 hour move from point D to point ...........

Quantitative Aptitude ( CCS) Case Studies

Direction : Study the following information and answer the questions that follow:

In a boating competition there are 3 boats X, Y and Z taking in the race. The river in which the race is to be held is divided into three equal parts AB, BC and CD. To complete the race a boast must travel from A to D downstream and back from D to A upstream.
The speed of stream in part BC is 50% of the speed of stream in part AB, while the speed of stream in part CD is 150% of the speed of the stream in part AB.
Speed of boat X in still water= 6 kmph;
Speed of boat Y in still water= 5 kmph
Speed of boat Z in still water= 8 kmph

When the speed of the stream in region CD is 3 kmph boat X takes 47 hour move from point D to point A upstream. Find the time required for boat Y to cover the distance CD downstream.

8 hours

9 hours

7 hours

7.5 hours

8.5 hours

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Explanation:

When speed of stream in position CD is 3kmph;

the in AB= 2 kmph; BC is 1 kmph
Let the distance of each region AB=BC=CD= M km
Time DC + Time CB + Time Ba = 47 hours
M/(6-3) + M/(6-1) + M/(6-2)= 47 hour
Solve and get M=60 km
Time for boat Y to travel Cd downstream=60/(5+3)=7.5 hours

Hence, option 4 is the correct answer.