If boat Y takes 1 hour to travel from point B to C downstream that is 6 km in distance Find the time...........

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

If boat Y takes 1 hour to travel from point B to C downstream that is 6 km in distance. Find the time that boat X will take to travel from A to D downstream.

3 (15/28) hours

2 (23/84) hours

4 (1/4) hours

4(3/4) hours

3 (15/17) hours

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Explanation:

For Y time to cover distance BC i.e 6 km= 1 hour => Speed of boat Y downstream=6/1= 6kmph
let the downstream speed in region BC=b then 6=5+b (as speed of boat Y in still water =5)
hence b=1 kmph
as per given data in ques; speed of stream in AB= 2 kmph; and speed of stream in CD= 3 kmph
Time for X to reach D from A can be calculated in 3 part : AB + BC + CD
= 6/(6+2) + 6/(6+1) + 6/(6+3)= 191/84 = 2(23/84)

Hence, option 2 is the correct answer.