A group of tourists went downstream a river and are supposed to return in 3 hours. How far can the tourists travel down the rive
r if the speed of the current is 2 mph, and the speed of the boat in still water is 18 mph?
1 answer:
D=vt
So they will travel downstream and upstream the same distance. Downstream they will travel:
d=(2+18)t1
Upstream they will travel:
u=(18-2)t2
Since d=u we can say:
20t1=16t2
We are told the trip lasts 3 hours so t1+t2=3, t2=3-t1, using this in the equation above we have:
20t1=16(3-t1)
20t1=48-16t1
36t1=48
t1=4/3 hours, and from earlier we saw that d=20t1 so:
d=20*4/3
d=80/3 miles
d=26 2/3 miles.
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