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Alice and Bob are currently 1000 feet apart and are both running directly
toward each other at a constant speed of 10 feet per second. A bird starts in the same
position as Alice and flies directly toward Bob at a speed of 20 feet per second. When the
bird reaches Bob, it turns around immediately and starts flying toward Alice at the same
speed, turning around immediately when it reaches Alice, and repeating this procedure until
Alice and Bob meet. When Alice and Bob finally meet, what is the total distance that the
bird has flown, in feet?


Sagot :

The distance the bird has flown by the time Alice and Bob meet is 40 feet.

What is the distance?

Distance is a measurement of time and speed.

The distance equals speed multiplied by time.

Data and Calculations:

Distance between Alice and Bob = 1,000 feet

Distance between the bird and Bob = 1,000 feet

Speed of Alice and Bob = 10 feet per second, respectively

The combined speed of Alice and Bob = 20 feet per second

Since the two are running directly toward each other, the distance each will cover at the meeting point is 50 feet (1,000/20)

The time covered at the meeting point = 20 seconds (1,000/50)

Speed of the bird = 20 feet per second

The distance covered by the bird towards Bob at their meeting point is 40 feet (20 feet x 20 seconds)

Thus, the total distance covered by the bird at the meeting point is 40 feet.

Learn more about distance, time, and speed athttps://brainly.com/question/26046491

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