Suppose at one point along the Nile River a ferryboat must travel straight acros

Question

Suppose at one point along the Nile River a ferryboat must travel straight across a 1.22-mile stretch from west to east. At this location, the river flows from south to north with a speed of 2.04 m/s. The ferryboat has a motor that can move the boat forward at a constant speed of 28.2 mph in still water. If the captain points the boat directly at the target location on the east bank of the river, how far downstream will she be from the target when she lands on the east bank?

su nse at ne alnt alang the Nila River a nmvb at must traval st alaht acroe5 1.22 mil stratch ram west Rast At thls cat on the dwar fous rom south to north with a An er or 7.04 m/s. am hat ha speed r 2 2 mph in still water ru e captain ins the boat d re y at the tdrqet locati r on the east bank the nver, how rar de anst ea n ill she e i r the target hen she lends on the east bank? motor that can move the boat arvard at a cn stant Need Help? Luana EutchA

Explanation / Answer

v_boat = 28.2 x 1609 m / 3600s

= 12.6 m/s to east

distance along west to east = 1.22 miles

= 1.22 x 1609 m

time taken to cross the river = (1.22 x 1609)/12.6

= 155.7 sec

distance travell downstream in this time.

d = (155.7)(2.04) = 318 m ....Ans

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