A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind. Find the speed of the wind if the pilot's speed in still air is 315 miles per hour.
Answers
Given:
A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind.
Pilot's speed in still air is 315 miles per hour.
To find:
The speed of the wind.
Solution:
Let the speed of wind be x miles per hour.
Speed with wind = 315+x miles per hour
Speed against wind = 315-x miles per hour
We know that,
According to the question,
Divide both sides by 90.
By cross multiplication, we get
Divide both sides by 9.
Therefore, the speed of wind is 35 miles per hour.
Final answer:
The speed of the wind is calculated using uniform motion equations for when the pilot is traveling with the wind and against the wind is w = 45 mph,
Explanation:
This is a problem that involves uniform motion, often taught in high school algebra. Let's denote the speed of the wind as w. Since the time it takes for the pilot to travel 450 miles with the wind is the same as the time it takes for them to travel 360 miles against the wind, we can establish two equations which both equal to time (distance/speed).
With the wind: 450/(315+w) = time
Against the wind: 360/(315-w) = time
As both sides equal to 'time', we can equate them together:
450/(315+w) = 360/(315-w)
Solving this equation, we find that w = 45 mph, which is the speed of the wind.
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Answers
Answer:
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Step-by-step explanation:
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Answers
The value of x in the circle is 58°
Secant and tangent intersection
when a secant and a tangent meets outsides of a circle, the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs. Therefore,
51° = 1 / 2 (160 - x)
Therefore,
51 = 80 - x / 2
51 - 80 = - 1 /2 x
-29 = - 1 / 2 x
multiply both sides by -2
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x = 58
Therefore, the value of x is 58 degrees
learn more on secant and tangent here;brainly.com/question/14697178
Answer:
58
Step-by-step explanation:
just did it on edg
Answers
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Step-by-step explanation:
If there are only 2 buses, it would be full, but there would still be 12 students without a bus. To take all students, you'd need 3 buses. 2 buses will be full, and the other bus would only have 12 students.
Answer:3 buses
Step-by-step explanation:
Because 50+50 is 100 which is two buses
But there are 12 students left so you need 1 more buses
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12. Theresa worked 9 hours on Monday and 7 hours on Wednesday. Her total pay was $116.00. What is her rate per hour?
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B. $8.29
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