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WARRIOR [948]
3 years ago
14

An airplane travels 800 miles with the wind in the same of time it takes to travel 650 miles against the wind. What is the speed

of the wind of the airplane rate is 525 miles per hour in still air?
Mathematics
1 answer:
SOVA2 [1]3 years ago
3 0

Answer:

90 mph

Step-by-step explanation:

Against wind DATA:

distance = 600 miles ; time = 5 hrs. ; rate = 600/5 = 120 mph

With wind DATA:

distance = 600 miles ; time = 2 hrs ; rate = 600/2 = 300 mph

Equations:

p + w = 300

p - w = 120

2p = 420

p = 210 mph (speed of the plane in still air)

Since p+w = 300, w = 300-210 = 90 mph (speed of the wind)

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The sum of three consecutive even numbers is one hundred sixty-two. What is the smallest of the three numbers?
zepelin [54]
Since the numbers are consecutive, they must be near each other in size, and therefore near one-third of 168. And since the lower number is -2 off the middle, and the upper number is +2 from the middle, the middle number must be exactly one-third of 168—otherwise the sum of the three could never be 168. Labelling the three consecutive numbers as x, y, and z:

x + y + z = 168

(y-2) + y + (y+2) = 168.

3y = 168

y = 56

therefore the smallest number (x) = 54.
436 viewsView upvotes

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