Boat A travels upstream from point X to point Y in 2 hours more than the time taken by Boat B to travel downstream from point Z to point Y. The distance between X and Y is 40 km and that distance between Y and Z is 24km. The speed of Boat A in still water is equal to the speed of Boat B downstream. What is the speed of Boat A in still water? (consider the speed of the current to be the same.
Correct Answer: Description for Correct answer:
Let the speed of the current = x km/hr
Speed of the Boat B in still water = 10 km/hr
Speed of the Boat B in downstream = x+10
Speed of the Boat A in still wateer = x+10
Speed of the Boat A in dfownstream = x+10-x = 10 km/hr
According to question,
\( \frac{40}{10} - \frac{24}{10+x}=2\)
\( 4 - \frac{24}{10+x}=2\)
10+x=12
x=2
Speed of Boat A in still water = 10+2 = 12 km/hr
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