a boat which can move with a speed of 5m/s relative to water crosses a river of width 480m flowing with a constant speed of 4m/s. what is the time taken by the boat to cross the river along the shortest path
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time taken by boat to cross the river along shortest path , t =
where d is width of river , v is speed of boat relative to river and u speed of river.
given,
speed of river, u = 4m/s
speed of boat with respect to river, v = 5m/s
and width of river, d = 480m
now, time taken to cross the river , t = 480/√(5² - 4²)
= 480/√(25 - 16) = 480/3 = 160sec or, 2min 40 sec
hence, time taken to cross the river along shortest path is 2min 40sec.
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