Answered

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Your friend john is 20.0 meters away from you and he is running away from you at 5.0 m/s. you sprint at 7.0 m/s to catch up. how long will it take you to reach him? _______ s

Sagot :

If John is 20.0 meters away from me and he is running away from me at 5.0 m/s. I sprint at 7.0 m/s to catch up. Then, I will take 10 seconds to reach him.

We know that,

Speed = Distance / Time

Time = Distance / Speed

Given that,

My speed = 7 m/s

John's speed = 5 m/s

Distance I need to cover to catch up John = ( 20 + x ) m

Distance John will cover before I catch up to him = ( x ) m

Since the time taken by both of us to reach that point is same,

( 20 + x ) / 7 = x / 5

100 + 5x = 7x

2x = 100

x = 50 m

Time required = Distance / Speed = 50 / 5        

Time required = 10 seconds  

It will take me 10 seconds to reach John.

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