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Tom Sawyer and Hu k Finn an ea h row a boat at 5 ft/s in still water. Tom hallenges Hu k to a ra e in whi h Tom is to row 2000 ft a ross the Mississippi to a point exa tly opposite their starting point and ba k again, while Hu k rows to a point 2000 ft dire tly downstream and ba k up again. If the Mississippi ows at 4 ft/s, whi h boy wins and by how long?

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DayyanKhan

Answer:

Huck will go down steam at a velocity of 8ft/s, so it will take 250s.

then when Huck is back at a velocity of 2ft/s, it will take with him a bout 1000s, so a total of 1250s.

Tom will be going through a velocity of 5ft/s in magnitude, however, this velocity will have a component of 3ft/s to the right, so the effective velocity will be squareroot(25-9)=4ft/s

so it will take 500s to go

and to go back the same thing will happen at the opposite side, and the effective velocity will also be 4ft/s, so also 500s, with a total of 1000s, so Tom will win, by 250s.

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