The rate of the jet stream is 100 miles per hour. Traveling with the jet stream, an airplane can fly 1200 miles in the same amo
1 answer:
Answer:
x = 600 mph
Step-by-step explanation:
It is given that,
Speed of the jet stream = 100 mph
It travels 1200 miles in the same amount of time as it takes to fly 1000 miles against the jet stream.
We need to find the airplane's average rate in calm air. Let it is equal to x mph.
As time in same in both cases. ATQ,
So, the airplane's average rate in calm air is 600 mph. Hence, this is the required solution.
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Plug in the value to solve the expression.
Hope this helps.
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Consider the point P where the gears meet. When the smaller gear rotates clockwise, the larger one will rotate counterclockwise.
Through one rotation of the smaller gear, P will have traveled the circumference of the smaller gear, which is in.
At the same time, a point P' on the larger gear traverses the same distance along the larger gear's circumference. This point traces out an arc that is subtended by some angle . The arc is as long as the smaller gear's circumference.
The measure of a circle's interior angle subtended by an arc is proportional to a complete revolution, i.e. an angular displacement of radians:
For part 2, we apply the same reasoning to the larger gear. In one full rotation of the larger gear, the point P' traverses the circumference in, and so does the point P on the smaller gear.
A full rotation is 360 degrees, so the smaller gear would have rotated times.
