A boat takes 6 hours to travel 16 km upstream and 24 km downstream, and it also takes 6 hours to travel 12 km upstream and 36 km downstream. Find the speed of the boat in still water. MCQ with Answer and Explanation

A boat takes 6 hours to travel 16 km upstream and 24 km downstream, and it also takes 6 hours to travel 12 km upstream and 36 km downstream. Find the speed of the boat in still water.
A. 12 kmph
B. 5 kmph
C. 10 kmph
D. 8 kmph
Answer: Option D
Solution (By JKExamLibrary)
Let 1/(u-v)=a, 1/(u+v)=b. 16a+24b=6, 12a+36b=6. Solve: a=1/4, b=1/12 → u-v=4, u+v=12 → u=8.

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