ereyes181
08.03.2021 •
Mathematics
Two people paddle a canoe in a river flowing at a rate of 3 miles per hour, then they returned traveling upstream. The entire trip was 96 miles and the trip upstream took twice as long as the trip downstream. How fast did they row in still water? How many hours was the complete trip?
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Ответ:
72
Step-by-step explanation:
Ответ:
speed in still water = 9 mph
total time = 12 hours
Step-by-step explanation:
speed = distance/time
distance = speed * time
Traveling downstream:
speed of river = 3 mph
speed of canoe in still water = v
speed of canoe going downstream = v + 3
distance = 96/2 = 48
time = t
distance = speed * time
48 = (v + 3)(t)
Traveling upstream:
speed of river = 3 mph
speed of canoe in still water = v
speed of canoe going downstream = v - 3
distance = 96/2 = 48
time = 2t
distance = speed * time
48 - d = (v - 3)(2t)
48 = (v + 3)(t)
48 = (v - 3)(2t)
vt + 3t = 48
2vt - 6t = 48
-2vt - 6t = -96
(+) 2vt - 6t = 48
-12t = -48
t = 4
vt + 3t = 48
4v + 3(4) = 48
4v + 12 = 48
4v = 36
v = 9
speed in still water = v = 9 mph
total time = t + 2t = 3t = 3(4) = 12 hours
Ответ:
Step-by-step explanation: