A launch takes 3 hours to go downstream from
point A to B and 6 hours to come back to A from
B. The time taken by the launch to cover the same
distance downstream when its engine cutoff is
(1) 12 hrs
(2) 9 hrs
(3) 4.5 hrs
(4) 18 hrs
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Answer:
D) Data inadequate
Description for Correct answer
Total time = 6 hours.
Speed of the boat in still water = 4 km/hr.
Let the distance between M and N be D, and the speed of the stream be x.
D[14+x+14−x]=6D[14+x+14−x]=6
D[4−x+4+x(x+x)(4−x)]=6D[4−x+4+x(x+x)(4−x)]=6
D[842−x2]=6D[842−x2]=6
8D16−x2=68D16−x2=6
D=68(16−x2)=34(16−x2)D=68(16−x2)=34(16−x2)
Since the speed of the stream (x) is not given, the distance D cannot be determined
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