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WARRIOR [948]
3 years ago
15

A boat traveled 336 miles downstream and back. The trip downstream took 12 hours. The trip upstream took 14 hours. What is the s

peed of the boat in still water? What is the speed of the current
Mathematics
1 answer:
Alexeev081 [22]3 years ago
3 0

x - boat speed; y - current speed; Path = 336:2 = 168 miles

1) 12 * (x + y) = 168; -> x + y = 14;

2)  14 * (x - y) = 168; -> x - y = 12;

1) x = 14 - y;

2) (14 - y) - y = 12;

14 - 2y = 12;

2y = 2;

y = 1 mph

x = 14 - 1 = 13 mph

Answer:

Boat speed = 13 mph

Current speed = 1 mph

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