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Q: A boat travels 20 km upstream in 6 hours and 18 km downstream in 4 hours. Find the speed of the boat in still water and the speed of the water current.
A. 3*11/12 kmph and 7/12 kmph B. 3 7/12 kmph and 11/12 kmph
C. 4 5/12 kmph and 7/12 kmph D. 4 7/12 kmph and 5/12 kmph

Answer and Explanation

Answer:3*11/12 kmph and 7/12 kmph

Explanation:
Upstream speed = d/t = 20/6 = 10/3 km/hr.
Downstream speed = 18/4 = 9/2 km/hr
Speed of boat in still water = (10/3 + 9/2) / 2
(20 + 27) / 6 × 2 = 47/12 = 3 11/12 km/hr
Speed of water current = (9/2 – 10/3)/2 = 27 – 20 / 12
7/12 km/hr

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