SOLUTION: when angelo burnini rows his gondola in still water(with no current) in venice,italy, he travels at 3 mph. when he rows at the same rate in the grand canal, it takes him the same a
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Question 166524: when angelo burnini rows his gondola in still water(with no current) in venice,italy, he travels at 3 mph. when he rows at the same rate in the grand canal, it takes him the same amount of time to travel 2.4 miles downstream (with the current) as it does to travel 2.3 miles upstream (against the current). find the current of the river. Answer by ptaylor(2198) (Show Source):
You can put this solution on YOUR website! Distance(d) equals Rate(r) times Time(t) or d=rt; r=d/t and t=d/r
Let r=speed of the current
Time to travel upstream=2.3/(3-r) (Note: Upstream we have to subtract the speed of the current; downstream, we add)
Time to travel downstream=2.4/(3+r)
Now we are told that the above two times are equal, so:
2.3/(3-r)=2.4/(3+r) multiply each side by (3-r)(3+r) (or cross multiply)
2.3(3+r)=2.4(3-r) get rid of parens (distributive law)
6.9+2.3r=7.2-2.4r subtract 6.9 from and add 2.4r to each side
6.9-6.9+2.3r+2.4r=7.2-6.9-2.4r+2.4r collect like terms
4.7r=0.3 divide each side by 4.7
r=0.0638 mph -----------------------speed of the current
CK
2.3/(3-0.0638)=2.4/(3+0.0638)
0.783=0.783
Hope this helps---ptaylor
