How long will it take?
A train travels a distance of 180 miles in 3 hours. If the train travels at a constant speed, how long will it take the train to travel 270 miles?
The Riddle of the Rotating Satellite
A communication satellite orbits the Earth in a circular path. At a certain time, its shadow falls on a particular point on the Earth's surface. After 3 hours, the Earth has rotated 45 degrees, and the satellite has also completed a part of its orbit. If the satellite's shadow is now 1000 km away from the original point, calculate the radius of the satellite's orbit, assuming it remains constant and the Earth is a perfect sphere with a radius of 6400 km. Use the formula for the arc length in a circle, S=rθ, where S is the arc length, r is the radius, and θ is the angle in radians.
Given:
ReplyDeleteDistance = 180 miles
Time = 3 hours
Speed = Distance/Time
Speed = 180 miles / 3 hours
Speed = 60 miles/hour
For 270 miles:
Time = Distance/Speed
Time = 270 miles / 60 miles/hour
Time = 4.5 hours